On a generalized class of analytic functions related to Bazilevič functions

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DOI:

https://doi.org/10.12697/ACUTM.2022.26.20

Keywords:

Analytic function, shifted factorial, Hadamard product, subordination, Gaussian hypergeometric function, Bazilevič function

Abstract

Using operator Lp(a, c) introduced by Saitoh (Math. Japon. 44 (1996), 31–38) we define the subclass Hp,nν,μ (a, c; ϕ) of the class A(p, n) and establish containment, subordination and coefficient inequalities of this subclass. We indicate the connections of our results with earlier results obtained by other researchers.




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Author Biographies

Laxmipriya Parida, GIET University

School of Engineering and Technology

Teodor Bulboaca, Babes-Bolyai University

Faculty of Mathematics and Computer Science

Ashok Kumar Sahoo, VSS University of Technology

Department of Mathematics

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Published

2022-11-28

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Articles