Abstract

The objective of the present paper is to derive certain geometric properties of analytic functions associated with the Dziok–Srivastava operator.

Highlights

  • Throughout this paper, we assume that: n, p ∈ N, −1 ≤ B < A ≤ 1, α > 0 and β < 1. (1)Let An ( p) denote the class of functions of the form: ∞ f (z) = z p + ∑ ak zk (2)k=n+ p k which are analytic in the open unit disk U = {z : |z| < 1}

  • The objective of the present paper is to derive certain geometric properties of analytic functions associated with the Dziok–Srivastava operator

  • K=n+ p k which are analytic in the open unit disk U = {z : |z| < 1}

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Summary

Introduction

Abstract: The objective of the present paper is to derive certain geometric properties of analytic functions associated with the Dziok–Srivastava operator. Let An ( p) denote the class of functions of the form: For: α j ∈ C ( j = 1, 2, · · · , l ) and β j ∈ C \ {0, −1, −2, · · · } ( j = 1, 2, · · · , m) the generalized hypergeometric function l Fm (α1 , · · · , αl ; β 1 , · · · , β m ; z) is defined by:

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