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Dal'nevostochnyi Matematicheskii Zhurnal, 2021, Volume 21, Number 1, Pages 26–38
DOI: https://doi.org/10.47910/FEMJ202102
(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
References:
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.
Received: 15.08.2020
Document Type: Article
UDC: 511.42
MSC: 30C45
Language: English
Citation: B. Venkateswarlu, P. Thirupathi Reddy, R. Madhuri Shilpa, Sujatha, “A new subclass of meromorphic function with positive coefficients defined by Hurwitz-Lerch Zeta functions”, Dal'nevost. Mat. Zh., 21:1 (2021), 26–38
Citation in format AMSBIB
\Bibitem{VenThiMad21}
\by B.~Venkateswarlu, P.~Thirupathi Reddy, R.~Madhuri Shilpa, Sujatha
\paper A new subclass of meromorphic function with positive coefficients defined by Hurwitz-Lerch Zeta functions
\jour Dal'nevost. Mat. Zh.
\yr 2021
\vol 21
\issue 1
\pages 26--38
\mathnet{http://mi.mathnet.ru/dvmg443}
\crossref{https://doi.org/10.47910/FEMJ202102}
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