Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 18 (2023), 135 -- 148

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This work is licensed under a Creative Commons Attribution 4.0 International License.

SOME APPLICATION OF A GENERALIZED DISTRIBUTION SERIES ON CERTAIN CLASS OF ANALYTIC FUNCTIONS

W. Y. Kota

Abstract. In this search, we investigate a relation between generalized distribution series and particular subclasses of univalent functions. Further, we obtain the sufficient conditions for generalized distribution series 𝒩ψ(τ,z) and ℳ*ψ(η,τ,z) belongs to ℒθ(A,B;γ). Also, we investigate some mapping properties for this class. Finally, we obtain some corollaries and consequences of the main results.

2020 Mathematics Subject Classification: 30C45, 30C50, 30C55
Keywords: Generalized distribution series; Analytic functions; Hadamard product; Starlike function; Convex functions.

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W. Y. Kota
Department of Mathematics, Faculty of science, Damietta University New Damietta, Egypt.
e-mail: wafaa-kota@yahoo.com

http://www.utgjiu.ro/math/sma