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Certain classes of analytic functions defined by Hurwitz-Lerch zeta function

Venkateswarlu Bolineni, Thirupathi Reddy Pinninti, Swapna Galla, Shilpa Rompilli Madhuri

Journal of Applied Analysis

2022

Vol. 28, nr 1

73--81

In this work, we introduce and investigate a new class k - ~USs (b, μ, γ, t) of analytic functions in the open unit disk U with negative coefficients. The object of the present paper is to determine coefficient estimates, neighborhoods and partial sums for functions f belonging to this class.

Properties for some subclasses of meromorphic functions defined by Bessel function

Popade Santosh, Ingle Rajkumar N., Reddy Thirupathi, Venkateswarlu Bolineni

Silesian Journal of Pure and Applied Mathematics

2020

vol. 10, iss. 1

1--13

In this paper, we introduce and study a new subclass of meromorphic univalent functions defined by Bessel function. We obtain coefficient inequalities, extreme points, radius of starlikeness and convexity. Finally we obtain partial sums and neighborhood properties for the class σ*p(η,κ,υ).