Estimate for initial MacLaurin coefficients of certain subclasses of bi-univalent functions of complex order associated with the Hohlov operator

Gangadharan Murugusundaramoorthy; Teodor Bulboacă

doi:10.2478/aupcsm-2018-0003

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Estimate for initial MacLaurin coefficients of certain subclasses of bi-univalent functions of complex order associated with the Hohlov operator

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Volume 17 (2018): Issue 1 (December 2018)

By: Gangadharan Murugusundaramoorthy and Teodor Bulboacă

Open Access

|Feb 2019

Abstract

In this paper, we define a new subclass of bi-univalent functions involving a Hohlov operator in the open unit disk. For functions belonging to this class, we obtain estimates on the first two Taylor-Maclaurin coefficients |a₂| and |a₃|.

References

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Articles in this issue

DOI: https://doi.org/10.2478/aupcsm-2018-0003 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X

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Language: English

Page range: 27 - 36

Submitted on: Oct 30, 2017

Accepted on: Feb 14, 2018

Published on: Feb 23, 2019

Published by: Pedagogical University of Cracow

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

and phrases: analytic functions,

univalent functions,

bi-univalent functions,

bistarlike and bi-convex functions,

Hohlov operator,

Gaussian hypergeometric function,

Dziok-Srivastava operator

Related subjects:

Mathematics,

General mathematics

© 2019 Gangadharan Murugusundaramoorthy, Teodor Bulboacă, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 17 (2018): Issue 1 (December 2018)