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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2021 Volume 21, Number 1, Pages 26–38 (Mi dvmg443)

A new subclass of meromorphic function with positive coefficients defined by Hurwitz-Lerch Zeta functions

B. Venkateswarlua, P. Thirupathi Reddyb, R. Madhuri Shilpaa, Sujathaa

a Department of Mathematics, GSS, GITAM University
b Department of Mathematics, Kakatiya University

Abstract: In this paper, we introduce and study a new subclass of meromorphic univalent functions defined by Hurwitz-Lerch Zeta function. We obtain coefficient inequalities, extreme points, radius of starlikeness and convexity. Finally we obtain partial sums and neighborhood properties for the class $\sigma ^* ( \gamma , k, \lambda, b, s) .$

Key words: meromorphic function, extreme point, partial sums, neighborhood.

UDC: 511.42

MSC: 30C45

Received: 15.08.2020

Language: English

DOI: 10.47910/FEMJ202102



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