|
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.
Received: 15.08.2020
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
Linking options:
https://www.mathnet.ru/eng/dvmg443 https://www.mathnet.ru/eng/dvmg/v21/i1/p26
|
Statistics & downloads: |
Abstract page: | 168 | Full-text PDF : | 80 | References: | 29 |
|