Hanan Darwish - Academia.edu (original) (raw)

Papers by Hanan Darwish

Open Journal of Mathematical Analysis, 2018

Let A be the class of analytic and univalent functions in the open unit disc ∆ normalized such th... more Let A be the class of analytic and univalent functions in the open unit disc ∆ normalized such that f (0) = 0 = f (0) − 1. In this paper, for ψ ∈ A of the form z f (z) , f (z) = 1 + ∞ n=1 a n z n and 0 ≤ α ≤ 1, we introduce and investigate interesting subclasses Hσ(φ), Sσ(α, φ), Mσ(α, φ), α(α, φ) and βα(λ, φ) (λ ≥ 0) of analytic and bi-univalent Ma-Minda starlike and convex functions. Furthermore, we find estimates on the coefficients |a 1 | and |a 2 | for functions in these classess. Several related classes of functions are also considered.

Mathematica Bohemica, 2016

We introduce and study some new subclasses of starlike, convex and closeto-convex functions defin... more We introduce and study some new subclasses of starlike, convex and closeto-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.

Kyungpook mathematical journal, 2016

The object of the present paper is to investigate the starlikeness of the class of functions f (z... more The object of the present paper is to investigate the starlikeness of the class of functions f (z) = z p + ∞ k=n a p+k z p+k (p, n ∈ N = {1, 2, ...}) which are analytic and p−valent in the unit disc U and satisfy the condition (1 − λ)(f (z) z p) α + λ zf (z) pf (z) (f (z) z p) α − 1 < µ (0 < µ ≤ 1, λ ≥ 0, α > 0, z ∈ U). The starlikeness of certain integral operator are also discussed. The results obtained generalize the related works of some authors and some other new results are also obtained.

Bollettino dell'Unione Matematica Italiana, 2016

The purpose of the present paper is to derive some inclusion properties and argument estimates of... more The purpose of the present paper is to derive some inclusion properties and argument estimates of certain classes of meromorphic functions in the punctured unit disc, which are defined by means of Bessel function. Furthermore, the integral preserving properties in a sector are investigated.

MATHEMATICA

SERAP BULUT Let Ap denote the class of functions of the form f (z)= zp+ ∞ ∑ k= p+ 1 akzk(p= 1, 2,... more SERAP BULUT Let Ap denote the class of functions of the form f (z)= zp+ ∞ ∑ k= p+ 1 akzk(p= 1, 2,...)(1.6) which are analytic and p-valent in the open unit disk U. We can write the following equalities for the functions f∈ Ap: D0 δ, pf (z)= f (z), (1.7) D1 δ, pf (z)=(1− δ) f ...

The Scientific World Journal, 2013

Two new subclasses of analytic functions of complex order are introduced. Apart from establishing... more Two new subclasses of analytic functions of complex order are introduced. Apart from establishing coefficient bounds for these classes, we establish inclusion relationships involving (n-δ) neighborhoods of analytic functions with negative coefficients belonging to these subclasses.

Kyungpook mathematical journal, 2015

Differential subordinations and superordinations results are obtained for certain meromorphic fun... more Differential subordinations and superordinations results are obtained for certain meromorphic functions in the punctured unit disk which are associated with an integral operator. These results are obtained by investigating appropriate classes of admissible functions. Sandwich-type results are also obtained 2000 Mathematics Subject Classification. 30C45.

Demonstratio Mathematica, 2012

In this paper, we study and use differential subordination methods to obtain several interesting ... more In this paper, we study and use differential subordination methods to obtain several interesting subordination results and best dominants for higher-order derivatives of multivalent functions defined with Srivastava-Attiya operator.

International Journal of Mathematics and Mathematical Sciences, 1996

The object of the present paper is to prove an interesting result for certain analytic andp-valen... more The object of the present paper is to prove an interesting result for certain analytic andp-valent functions in the unit discU={z:|z|<1}.

Open Journal of Mathematical Analysis, 2018

Let A be the class of analytic and univalent functions in the open unit disc ∆ normalized such th... more Let A be the class of analytic and univalent functions in the open unit disc ∆ normalized such that f (0) = 0 = f (0) − 1. In this paper, for ψ ∈ A of the form z f (z) , f (z) = 1 + ∞ n=1 a n z n and 0 ≤ α ≤ 1, we introduce and investigate interesting subclasses Hσ(φ), Sσ(α, φ), Mσ(α, φ), α(α, φ) and βα(λ, φ) (λ ≥ 0) of analytic and bi-univalent Ma-Minda starlike and convex functions. Furthermore, we find estimates on the coefficients |a 1 | and |a 2 | for functions in these classess. Several related classes of functions are also considered.

Mathematica Bohemica, 2016

We introduce and study some new subclasses of starlike, convex and closeto-convex functions defin... more We introduce and study some new subclasses of starlike, convex and closeto-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.

Kyungpook mathematical journal, 2016

The object of the present paper is to investigate the starlikeness of the class of functions f (z... more The object of the present paper is to investigate the starlikeness of the class of functions f (z) = z p + ∞ k=n a p+k z p+k (p, n ∈ N = {1, 2, ...}) which are analytic and p−valent in the unit disc U and satisfy the condition (1 − λ)(f (z) z p) α + λ zf (z) pf (z) (f (z) z p) α − 1 < µ (0 < µ ≤ 1, λ ≥ 0, α > 0, z ∈ U). The starlikeness of certain integral operator are also discussed. The results obtained generalize the related works of some authors and some other new results are also obtained.

Bollettino dell'Unione Matematica Italiana, 2016

The purpose of the present paper is to derive some inclusion properties and argument estimates of... more The purpose of the present paper is to derive some inclusion properties and argument estimates of certain classes of meromorphic functions in the punctured unit disc, which are defined by means of Bessel function. Furthermore, the integral preserving properties in a sector are investigated.

MATHEMATICA

SERAP BULUT Let Ap denote the class of functions of the form f (z)= zp+ ∞ ∑ k= p+ 1 akzk(p= 1, 2,... more SERAP BULUT Let Ap denote the class of functions of the form f (z)= zp+ ∞ ∑ k= p+ 1 akzk(p= 1, 2,...)(1.6) which are analytic and p-valent in the open unit disk U. We can write the following equalities for the functions f∈ Ap: D0 δ, pf (z)= f (z), (1.7) D1 δ, pf (z)=(1− δ) f ...

The Scientific World Journal, 2013

Two new subclasses of analytic functions of complex order are introduced. Apart from establishing... more Two new subclasses of analytic functions of complex order are introduced. Apart from establishing coefficient bounds for these classes, we establish inclusion relationships involving (n-δ) neighborhoods of analytic functions with negative coefficients belonging to these subclasses.

Kyungpook mathematical journal, 2015

Differential subordinations and superordinations results are obtained for certain meromorphic fun... more Differential subordinations and superordinations results are obtained for certain meromorphic functions in the punctured unit disk which are associated with an integral operator. These results are obtained by investigating appropriate classes of admissible functions. Sandwich-type results are also obtained 2000 Mathematics Subject Classification. 30C45.

Demonstratio Mathematica, 2012

In this paper, we study and use differential subordination methods to obtain several interesting ... more In this paper, we study and use differential subordination methods to obtain several interesting subordination results and best dominants for higher-order derivatives of multivalent functions defined with Srivastava-Attiya operator.

International Journal of Mathematics and Mathematical Sciences, 1996

The object of the present paper is to prove an interesting result for certain analytic andp-valen... more The object of the present paper is to prove an interesting result for certain analytic andp-valent functions in the unit discU={z:|z|<1}.