Abstract

In the present paper, we introduce and explore certain new classes of meromorphic functions related with closed-to-convexity and q-calculus. Such results as coefficient estimates, grow the property and partial sums are derived. It is important to mentioned that our results are generalization of number of existing results in literature.

Highlights

  • Let 1 denote the class of meromorphic functions of the form: f (ω) = 1 ω + ∞ atωt, (1)t=1 which are analytic in the punctured open unit disc U ∗ = {ω : ω ∈ C and 0 < {ω} < 1} = U \{0}, where U = U ∗ ∪ {0}.In Geometric Function Theory, several subclasses of the meromorphic functions have already been examined and investigated through many perceptions, see( [9,10, 12, 18, 21, 22])

  • We introduce and explore certain new classes of meromorphic functions related to closed-to-convexity and q-calculus

  • Ismail et al [8] were the first to use the q-derivative operator ∆q in order to study a certain q-analogue of the class T ∗ of starlike functions in U

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Summary

Introduction

We introduce and explore certain new classes of meromorphic functions related to closed-to-convexity and q-calculus. Let 1 denote the class of meromorphic functions of the form: f (ω) = Ismail et al [8] were the first to use the q-derivative operator ∆q in order to study a certain q-analogue of the class T ∗ of starlike functions in U . A function f ∈ 1 is said to be meromorphic starlike of order α defined as: MS

Results
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