Some properties of certain subclasses of p-valent Bazilevic functions associated with the generalized operator (original) (raw)

On a class of p-valent functions involving generalized differential operator

Afrika Matematika, 2020

This paper aiming to introduce a new differential operator T m w,p,α,β,λ,δ in the open unit disc U = {z ∈ C : |z| < 1}. We then, introduce a new subclass of analytic function G w m (µ, λ, α, β, δ, b, p). Moreover, we discuss coefficient estimates, growth and distortion theorems, and inclusion properties for the functions belonging to the class G w m (µ, λ, α, β, δ, b, p).

Notes on multivalent Bazilević functions defined by higher order derivatives

TURKISH JOURNAL OF MATHEMATICS, 2020

In this paper we consider two subclasses B(p, q, α, β) and B 1 (p, q, α, β) of p-valently Bazilević functions defined by higher order derivatives, and we defined and studied some properties of the images of the functions of these classes by the integral operators I n,p and J n,p for multivalent functions, defined by using higher order derivatives. 2010 Mathematics Subject Classification. 30C45. Key words and phrases. p-valent functions, p-valent starlike and convex functions, Bazilević functions, higher order derivatives, integral operator.

On a generalized class of analytic functions related to Bazilevič functions

Acta et Commentationes Universitatis Tartuensis de Mathematica

Using operator Lp(a, c) introduced by Saitoh (Math. Japon. 44 (1996), 31–38) we define the subclass Hp,nν,μ (a, c; ϕ) of the class A(p, n) and establish containment, subordination and coefficient inequalities of this subclass. We indicate the connections of our results with earlier results obtained by other researchers.

A New Subclass of P-Valent Functions Defined by Aouf et Al Derivative Operator

International Journal of Pure and Apllied Mathematics, 2016

In this present paper, we study a new subclass of δp(A, B, b, ω, λ, l, n) of analytic p−valent functions in the unit disk U = {z : |z| < 1} defined by Aouf et al derivative operator. Coefficient estimates and relevant connection of this class to the famous Fekete-Szego were obtained.