Generalizations of Libera integral operator for analytic functions

Emel Yavuz; H. Özlem Güney; Shigeyoshi Owa

doi:10.2478/awutm-2022-0004

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Generalizations of Libera integral operator for analytic functions

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 58 (2022): Issue 1 (June 2022)

By: Emel Yavuz, H. Özlem Güney and Shigeyoshi Owa

Open Access

|Jun 2022

Abstract

Let 𝒜 _pbe the class of functions f of the form $f (z) = z^{p} + a_{p + 1} z^{p + 1} + a_{p + 2} z^{p + 2} + \dots$ f\left( z \right) = {z^p} + {a_{p + 1}}{z^{p + 1}} + {a_{p + 2}}{z^{p + 2}} + \cdots that are analytic in the open unit disk 𝕌. For f ∈ 𝒜 _p, new integral and differential operator _nf is considered. The object of the present paper is to discuss some interesting properties of _nf and to consider some examples for our results.

References

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Articles in this issue

DOI: https://doi.org/10.2478/awutm-2022-0004 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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Language: English

Page range: 39 - 55

Published on: Jun 20, 2022

Published by: West University of Timisoara

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

Libera integral operator,

p-valently starlike function,

p-valently convex function,

Related subjects:

© 2022 Emel Yavuz, H. Özlem Güney, Shigeyoshi Owa, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 58 (2022): Issue 1 (June 2022)