safa salehian - Academia.edu (original) (raw)

Papers by safa salehian

Research paper thumbnail of Coefficient Estimates for Certain Subclass of Meromorphic and Bi-Univalent Functions

Communications of The Korean Mathematical Society, Apr 30, 2017

In this paper, we introduce and investigate an interesting subclass of meromorphic bi-univalent f... more In this paper, we introduce and investigate an interesting subclass of meromorphic bi-univalent functions defined on ∆ = {z ∈ C : 1 < |z| < ∞}. For functions belonging to this class, estimates on the initial coefficients are obtained. The results presented in this paper would generalize and improve some recent works of several earlier authors.

Research paper thumbnail of Coefficient Estimates for Subclass of m-Fold Symmetric Bi- Univalent Functions

Kragujevac Journal of Mathematics

In the present paper, a general subclass Mh,p Σm (λ, γ) of the m-Fold symmetric bi-univalent func... more In the present paper, a general subclass Mh,p Σm (λ, γ) of the m-Fold symmetric bi-univalent functions is deĄned. Also, the estimates of the TaylorMaclaurin coefficients |am+1|, |a2m+1| and Fekete-Szegö problems are obtained for functions in this new subclass. The results presented in this paper would generalize and improve some recent works of several earlier authors.

Research paper thumbnail of The Fekete-Szegö problems for a subclass of m-fold symmetric bi-univalent functions

Işık University Press, 2021

In this paper, we investigate a new subclass P h,p Σm (λ, γ) of m-fold symmetric bi-univalent fun... more In this paper, we investigate a new subclass P h,p Σm (λ, γ) of m-fold symmetric bi-univalent functions. Moreover, for functions of this subclass, we obtain the coefficient estimates of the Taylor-Maclaurin coefficients |am+1|, |a2m+1| and Fekete-Szegö problems. The coefficients estimates presented in this paper would generalize and improve those in related works of several earlier authors

Research paper thumbnail of Research Guides College of Health Professions Endnote

Research paper thumbnail of Second Hankel determinant for certain subclass of bi-univalent functions

Filomat, 2021

The main purpose of this paper is to obtain an upper bound for the second Hankel determinant for ... more The main purpose of this paper is to obtain an upper bound for the second Hankel determinant for functions belonging to a subclass of bi-univalent functions in the open unit disk in the complex plane. Furthermore, the presented results in this work improve or generalize the recent works of other authors.

Research paper thumbnail of Coefficient estimates for a certain subclass of analytic and bi-univalent functions

Applied Mathematics Letters, 2012

Research paper thumbnail of A Fixed Point Theorem for n-Contraction Mappings in Metric and D-metric Spaces

In this study we state a type of contraction and then establish a fixed point theorem, then adapt... more In this study we state a type of contraction and then establish a fixed point theorem, then adapted results in D-metric spaces.

Research paper thumbnail of ON THE CERTAIN SUBCLASS OF ANALYTIC AND BI-UNIVALENT FUNCTIONS DEFINED BY CONVOLUTION A. Zireh and S. Salehian

In this paper, we introduce and investigate an interesting subclass B Σ (h, λ) of bi-univalent fu... more In this paper, we introduce and investigate an interesting subclass B Σ (h, λ) of bi-univalent functions in the open unit disk U. Furthermore, we find estimates on the |a2| and |a3| coefficients for functions in this subclass. The results presented in this paper would generalize and improve those in related works of several earlier authors. 2010 Mathematics Subject Classification: 30C45.

Research paper thumbnail of Coefficient estimates for a class of meromorphic bi-univalent functions

Let 𝝨 be the class of meromorphic bi-univalent functions f of the formf(z)=z+b_0+∑_(n=1)^∞▒b_n/z^... more Let 𝝨 be the class of meromorphic bi-univalent functions f of the formf(z)=z+b_0+∑_(n=1)^∞▒b_n/z^n ,which are univalent (analytic and one to one) on the domain Δ={z∈C∶1

Research paper thumbnail of Coefficient problems for certain subclass of m-fold symmetric bi-univalent functions by using Faber polynomial

In this paper, we apply the Faber polynomial expansions to find upper bounds for the general coef... more In this paper, we apply the Faber polynomial expansions to find upper bounds for the general coefficients |amk+1|(k = 3) of functions in the subclassNΣm (τ, γ; β). The results presented in this paper would generalize and improve some recent works.

Research paper thumbnail of New subclasses of meromorphic bi-univalent functions by associated with subordinate

‎In the present paper‎, ‎we define two subclasses Sigma(lambda‎,‎alpha‎,‎beta)Sigma(lambda‎, ‎alpha‎, ‎beta)Sigma(lambda‎,‎alpha‎,‎beta)‎, ‎$Sigma_{mat... more ‎In the present paper‎, ‎we define two subclasses Sigma(lambda‎,‎alpha‎,‎beta)Sigma(lambda‎, ‎alpha‎, ‎beta)Sigma(lambda‎,‎alpha‎,‎beta)‎, ‎$Sigma_{mathcal C}(alpha‎, ‎beta)$ of meromorphic univalent functions and subclass SigmamathcalB,mathcalC(alpha‎,‎beta‎,‎lambda)Sigma_{{mathcal B},{mathcal C}}(alpha‎, ‎beta‎, ‎lambda)SigmamathcalB,mathcalC(alpha‎,‎beta‎,‎lambda) of meromorphic bi-univalent functions‎. ‎Furthermore‎, ‎we obtain estimates on the general coefficients ∣bn∣(˜nge1)|b_n|~(n ge1)∣bn∣(˜​nge1) for functions in the subclasses Sigma(lambda‎,‎alpha‎,‎beta)Sigma(lambda‎, ‎alpha‎, ‎beta)Sigma(lambda‎,‎alpha‎,‎beta)‎, ‎$Sigma_{mathcal C}(alpha‎, ‎beta)$ and estimates for the early coefficients of functions in subclass SigmamathcalB,mathcalC(alpha‎,‎beta‎,‎lambda)Sigma_{{mathcal B},{mathcal C}}(alpha‎, ‎beta‎, ‎lambda)SigmamathcalB,mathcalC(alpha‎,‎beta‎,‎lambda) by associated subordination‎. ‎The results obtained in this paper would generalize and improve those in related works of several earlier authors‎.

Research paper thumbnail of New subclass of bi-univalent functions by <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">(</mo><mi>p</mi><mo separator="true">,</mo><mi>q</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">(p,q)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">(</span><span class="mord mathnormal">p</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">q</span><span class="mclose">)</span></span></span></span>-derivative operator

Research paper thumbnail of Coefficients of a Comprehensive Subclass of Meromorphic Bi-Univalent Functions Associated with the Faber Polynomial Expansion

Axioms, 2021

In this paper, we introduce a new comprehensive subclass ΣB(λ, μ, β) of meromorphic bi-univalent ... more In this paper, we introduce a new comprehensive subclass ΣB(λ, μ, β) of meromorphic bi-univalent functions in the open unit disk U. We also find the upper bounds for the initial TaylorMaclaurin coefficients |b0|, |b1| and |b2| for functions in this comprehensive subclass. Moreover, we obtain estimates for the general coefficients |bn| (n = 1) for functions in the subclass ΣB(λ, μ, β) by making use of the Faber polynomial expansion method. The results presented in this paper would generalize and improve several recent works on the subject.

Research paper thumbnail of Certain subclass of bi-univalent functions associated with the Chebyshev polynomials based on q-derivative symmetric q-derivative

SERIES III - MATEMATICS, INFORMATICS, PHYSICS

In this paper, we introduce new subclass Beq σB (λ, t) of bi-univalent functions by applying the ... more In this paper, we introduce new subclass Beq σB (λ, t) of bi-univalent functions by applying the Chebyshev polynomials. In the following, we obtain bounds for the initial coefficients and the Fekete-Szeg¨o inequalities for functions in this subclass. The results presented in this paper generalize the recent work of Altinkaya and Yalcın.

Research paper thumbnail of Certain class of m-fold functions by applying Faber polynomial expansions

Studia Universitatis Babes-Bolyai Matematica

"In this paper, we introduce new class Sigmam(mu,lambda,gamma,beta)\Sigma_{m}(\mu,\lambda,\gamma,\beta)Sigmam(mu,lambda,gamma,beta) of mmm-fold sy... more "In this paper, we introduce new class Sigmam(mu,lambda,gamma,beta)\Sigma_{m}(\mu,\lambda,\gamma,\beta)Sigmam(mu,lambda,gamma,beta) of mmm-fold symmetric bi-univalent functions. Furthermore, we use the Faber polynomial expansions to find upper bounds for the general coefficients ∣amk+1∣(kgeqq2)|a_{mk+1}|(k \geqq 2)∣amk+1∣(kgeqq2) of functions in the class Sigmam(mu,lambda,gamma,beta)\Sigma_{m}(\mu,\lambda,\gamma,\beta)Sigmam(mu,lambda,gamma,beta). Moreover, we obtain estimates for the initial coefficients ∣am+1∣|a_{m+1}| ∣am+1∣ and ∣a2m+1∣|a_{2m+1}|∣a2m+1∣ for functions in this class. The results presented in this paper would generalize and improve some recent works."

Research paper thumbnail of Comprehensive subclass of m-fold symmetric bi-univalent functions defined by subordination

Research paper thumbnail of Initial coefficient bounds for certain class of meromorphic bi-univalent functions

Acta Universitatis Sapientiae, Mathematica

In this paper, we introduce and investigate an interesting subclass of meromorphic bi-univalent f... more In this paper, we introduce and investigate an interesting subclass of meromorphic bi-univalent functions defined on Δ = {z ∈ ℂ: 1 < |z| < ∞}. For functions belonging to this class, estimates on the initial coefficients are obtained. The results presented in this paper generalize and improve some recent works.

Research paper thumbnail of Coefficient estimates for a general subclass of <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>m</mi></mrow><annotation encoding="application/x-tex">m</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.4306em;"></span><span class="mord mathnormal">m</span></span></span></span>-fold symmetric bi-univalent functions

Tbilisi Mathematical Journal

Research paper thumbnail of Faber polynomial coefficient estimates for a certain subclass of meromorphic bi-univalent functions

Asian-European Journal of Mathematics

In this paper, by using the Faber polynomial expansions we can find the coefficient bounds for [F... more In this paper, by using the Faber polynomial expansions we can find the coefficient bounds for [Formula: see text] subclass of meromorphic bi-univalent functions. The results presented in this paper would generalize and improve some recent works.

Research paper thumbnail of Faber polynomial coefficient estimates for a certain subclass of meromorphic bi-univalent functions

Asian-European Journal of Mathematics

In this paper, by using the Faber polynomial expansions we can find the coefficient bounds for [F... more In this paper, by using the Faber polynomial expansions we can find the coefficient bounds for [Formula: see text] subclass of meromorphic bi-univalent functions. The results presented in this paper would generalize and improve some recent works.

Research paper thumbnail of Coefficient Estimates for Certain Subclass of Meromorphic and Bi-Univalent Functions

Communications of The Korean Mathematical Society, Apr 30, 2017

In this paper, we introduce and investigate an interesting subclass of meromorphic bi-univalent f... more In this paper, we introduce and investigate an interesting subclass of meromorphic bi-univalent functions defined on ∆ = {z ∈ C : 1 < |z| < ∞}. For functions belonging to this class, estimates on the initial coefficients are obtained. The results presented in this paper would generalize and improve some recent works of several earlier authors.

Research paper thumbnail of Coefficient Estimates for Subclass of m-Fold Symmetric Bi- Univalent Functions

Kragujevac Journal of Mathematics

In the present paper, a general subclass Mh,p Σm (λ, γ) of the m-Fold symmetric bi-univalent func... more In the present paper, a general subclass Mh,p Σm (λ, γ) of the m-Fold symmetric bi-univalent functions is deĄned. Also, the estimates of the TaylorMaclaurin coefficients |am+1|, |a2m+1| and Fekete-Szegö problems are obtained for functions in this new subclass. The results presented in this paper would generalize and improve some recent works of several earlier authors.

Research paper thumbnail of The Fekete-Szegö problems for a subclass of m-fold symmetric bi-univalent functions

Işık University Press, 2021

In this paper, we investigate a new subclass P h,p Σm (λ, γ) of m-fold symmetric bi-univalent fun... more In this paper, we investigate a new subclass P h,p Σm (λ, γ) of m-fold symmetric bi-univalent functions. Moreover, for functions of this subclass, we obtain the coefficient estimates of the Taylor-Maclaurin coefficients |am+1|, |a2m+1| and Fekete-Szegö problems. The coefficients estimates presented in this paper would generalize and improve those in related works of several earlier authors

Research paper thumbnail of Research Guides College of Health Professions Endnote

Research paper thumbnail of Second Hankel determinant for certain subclass of bi-univalent functions

Filomat, 2021

The main purpose of this paper is to obtain an upper bound for the second Hankel determinant for ... more The main purpose of this paper is to obtain an upper bound for the second Hankel determinant for functions belonging to a subclass of bi-univalent functions in the open unit disk in the complex plane. Furthermore, the presented results in this work improve or generalize the recent works of other authors.

Research paper thumbnail of Coefficient estimates for a certain subclass of analytic and bi-univalent functions

Applied Mathematics Letters, 2012

Research paper thumbnail of A Fixed Point Theorem for n-Contraction Mappings in Metric and D-metric Spaces

In this study we state a type of contraction and then establish a fixed point theorem, then adapt... more In this study we state a type of contraction and then establish a fixed point theorem, then adapted results in D-metric spaces.

Research paper thumbnail of ON THE CERTAIN SUBCLASS OF ANALYTIC AND BI-UNIVALENT FUNCTIONS DEFINED BY CONVOLUTION A. Zireh and S. Salehian

In this paper, we introduce and investigate an interesting subclass B Σ (h, λ) of bi-univalent fu... more In this paper, we introduce and investigate an interesting subclass B Σ (h, λ) of bi-univalent functions in the open unit disk U. Furthermore, we find estimates on the |a2| and |a3| coefficients for functions in this subclass. The results presented in this paper would generalize and improve those in related works of several earlier authors. 2010 Mathematics Subject Classification: 30C45.

Research paper thumbnail of Coefficient estimates for a class of meromorphic bi-univalent functions

Let 𝝨 be the class of meromorphic bi-univalent functions f of the formf(z)=z+b_0+∑_(n=1)^∞▒b_n/z^... more Let 𝝨 be the class of meromorphic bi-univalent functions f of the formf(z)=z+b_0+∑_(n=1)^∞▒b_n/z^n ,which are univalent (analytic and one to one) on the domain Δ={z∈C∶1

Research paper thumbnail of Coefficient problems for certain subclass of m-fold symmetric bi-univalent functions by using Faber polynomial

In this paper, we apply the Faber polynomial expansions to find upper bounds for the general coef... more In this paper, we apply the Faber polynomial expansions to find upper bounds for the general coefficients |amk+1|(k = 3) of functions in the subclassNΣm (τ, γ; β). The results presented in this paper would generalize and improve some recent works.

Research paper thumbnail of New subclasses of meromorphic bi-univalent functions by associated with subordinate

‎In the present paper‎, ‎we define two subclasses Sigma(lambda‎,‎alpha‎,‎beta)Sigma(lambda‎, ‎alpha‎, ‎beta)Sigma(lambda‎,‎alpha‎,‎beta)‎, ‎$Sigma_{mat... more ‎In the present paper‎, ‎we define two subclasses Sigma(lambda‎,‎alpha‎,‎beta)Sigma(lambda‎, ‎alpha‎, ‎beta)Sigma(lambda‎,‎alpha‎,‎beta)‎, ‎$Sigma_{mathcal C}(alpha‎, ‎beta)$ of meromorphic univalent functions and subclass SigmamathcalB,mathcalC(alpha‎,‎beta‎,‎lambda)Sigma_{{mathcal B},{mathcal C}}(alpha‎, ‎beta‎, ‎lambda)SigmamathcalB,mathcalC(alpha‎,‎beta‎,‎lambda) of meromorphic bi-univalent functions‎. ‎Furthermore‎, ‎we obtain estimates on the general coefficients ∣bn∣(˜nge1)|b_n|~(n ge1)∣bn∣(˜​nge1) for functions in the subclasses Sigma(lambda‎,‎alpha‎,‎beta)Sigma(lambda‎, ‎alpha‎, ‎beta)Sigma(lambda‎,‎alpha‎,‎beta)‎, ‎$Sigma_{mathcal C}(alpha‎, ‎beta)$ and estimates for the early coefficients of functions in subclass SigmamathcalB,mathcalC(alpha‎,‎beta‎,‎lambda)Sigma_{{mathcal B},{mathcal C}}(alpha‎, ‎beta‎, ‎lambda)SigmamathcalB,mathcalC(alpha‎,‎beta‎,‎lambda) by associated subordination‎. ‎The results obtained in this paper would generalize and improve those in related works of several earlier authors‎.

Research paper thumbnail of New subclass of bi-univalent functions by <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">(</mo><mi>p</mi><mo separator="true">,</mo><mi>q</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">(p,q)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">(</span><span class="mord mathnormal">p</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">q</span><span class="mclose">)</span></span></span></span>-derivative operator

Research paper thumbnail of Coefficients of a Comprehensive Subclass of Meromorphic Bi-Univalent Functions Associated with the Faber Polynomial Expansion

Axioms, 2021

In this paper, we introduce a new comprehensive subclass ΣB(λ, μ, β) of meromorphic bi-univalent ... more In this paper, we introduce a new comprehensive subclass ΣB(λ, μ, β) of meromorphic bi-univalent functions in the open unit disk U. We also find the upper bounds for the initial TaylorMaclaurin coefficients |b0|, |b1| and |b2| for functions in this comprehensive subclass. Moreover, we obtain estimates for the general coefficients |bn| (n = 1) for functions in the subclass ΣB(λ, μ, β) by making use of the Faber polynomial expansion method. The results presented in this paper would generalize and improve several recent works on the subject.

Research paper thumbnail of Certain subclass of bi-univalent functions associated with the Chebyshev polynomials based on q-derivative symmetric q-derivative

SERIES III - MATEMATICS, INFORMATICS, PHYSICS

In this paper, we introduce new subclass Beq σB (λ, t) of bi-univalent functions by applying the ... more In this paper, we introduce new subclass Beq σB (λ, t) of bi-univalent functions by applying the Chebyshev polynomials. In the following, we obtain bounds for the initial coefficients and the Fekete-Szeg¨o inequalities for functions in this subclass. The results presented in this paper generalize the recent work of Altinkaya and Yalcın.

Research paper thumbnail of Certain class of m-fold functions by applying Faber polynomial expansions

Studia Universitatis Babes-Bolyai Matematica

"In this paper, we introduce new class Sigmam(mu,lambda,gamma,beta)\Sigma_{m}(\mu,\lambda,\gamma,\beta)Sigmam(mu,lambda,gamma,beta) of mmm-fold sy... more "In this paper, we introduce new class Sigmam(mu,lambda,gamma,beta)\Sigma_{m}(\mu,\lambda,\gamma,\beta)Sigmam(mu,lambda,gamma,beta) of mmm-fold symmetric bi-univalent functions. Furthermore, we use the Faber polynomial expansions to find upper bounds for the general coefficients ∣amk+1∣(kgeqq2)|a_{mk+1}|(k \geqq 2)∣amk+1∣(kgeqq2) of functions in the class Sigmam(mu,lambda,gamma,beta)\Sigma_{m}(\mu,\lambda,\gamma,\beta)Sigmam(mu,lambda,gamma,beta). Moreover, we obtain estimates for the initial coefficients ∣am+1∣|a_{m+1}| ∣am+1∣ and ∣a2m+1∣|a_{2m+1}|∣a2m+1∣ for functions in this class. The results presented in this paper would generalize and improve some recent works."

Research paper thumbnail of Comprehensive subclass of m-fold symmetric bi-univalent functions defined by subordination

Research paper thumbnail of Initial coefficient bounds for certain class of meromorphic bi-univalent functions

Acta Universitatis Sapientiae, Mathematica

In this paper, we introduce and investigate an interesting subclass of meromorphic bi-univalent f... more In this paper, we introduce and investigate an interesting subclass of meromorphic bi-univalent functions defined on Δ = {z ∈ ℂ: 1 < |z| < ∞}. For functions belonging to this class, estimates on the initial coefficients are obtained. The results presented in this paper generalize and improve some recent works.

Research paper thumbnail of Coefficient estimates for a general subclass of <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>m</mi></mrow><annotation encoding="application/x-tex">m</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.4306em;"></span><span class="mord mathnormal">m</span></span></span></span>-fold symmetric bi-univalent functions

Tbilisi Mathematical Journal

Research paper thumbnail of Faber polynomial coefficient estimates for a certain subclass of meromorphic bi-univalent functions

Asian-European Journal of Mathematics

In this paper, by using the Faber polynomial expansions we can find the coefficient bounds for [F... more In this paper, by using the Faber polynomial expansions we can find the coefficient bounds for [Formula: see text] subclass of meromorphic bi-univalent functions. The results presented in this paper would generalize and improve some recent works.

Research paper thumbnail of Faber polynomial coefficient estimates for a certain subclass of meromorphic bi-univalent functions

Asian-European Journal of Mathematics

In this paper, by using the Faber polynomial expansions we can find the coefficient bounds for [F... more In this paper, by using the Faber polynomial expansions we can find the coefficient bounds for [Formula: see text] subclass of meromorphic bi-univalent functions. The results presented in this paper would generalize and improve some recent works.