March 2023 On a certain subclass of analytic functions defined by a differential operator
B. Venkateswarlu, P. Thirupathi Reddy, Chao Meng, G. Swapna
Adv. Studies: Euro-Tbilisi Math. J. 16(1): 51-61 (March 2023). DOI: 10.32513/asetmj/19322008237

Abstract

In this work, we introduce and investigate a new class kU˜Ssm(λ,γ,t) of analytic functions in the open unit disc 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.

Acknowledgement

The authors are thankful to the editor and referee(s) for their valuable comments and suggestions which helped very much in improving the paper.

Citation

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B. Venkateswarlu. P. Thirupathi Reddy. Chao Meng. G. Swapna. "On a certain subclass of analytic functions defined by a differential operator." Adv. Studies: Euro-Tbilisi Math. J. 16 (1) 51 - 61, March 2023. https://doi.org/10.32513/asetmj/19322008237

Information

Received: 26 April 2022; Accepted: 25 December 2022; Published: March 2023
First available in Project Euclid: 24 March 2023

MathSciNet: MR4564880
zbMATH: 1512.30007
Digital Object Identifier: 10.32513/asetmj/19322008237

Subjects:
Primary: 30C45

Keywords: Analytic function , coefficient estimate , neighborhood problem , partial sums , uniformly starlike function

Rights: Copyright © 2023 Tbilisi Centre for Mathematical Sciences

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Vol.16 • No. 1 • March 2023
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