Bi-Bazilevič functions of complex order involving Ruscheweyh type q-difference operator

Gangadharan Murugusundaramoorthy; Serap Bulut

doi:10.2478/aupcsm-2018-0001

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Bi-Bazilevič functions of complex order involving Ruscheweyh type q-difference operator

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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

By: Gangadharan Murugusundaramoorthy and Serap Bulut

Open Access

|Feb 2019

Abstract

In this paper, we define a new subclass of bi-univalent functions involving q-difference 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-2018-0001 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X

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Language: English

Page range: 5 - 15

Submitted on: Nov 16, 2017

Accepted on: Feb 6, 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: Univalent function,

Bi-Starlike function,

Bi-Convex function,

Hadamard product,

q-derivative operator

Related subjects:

Mathematics,

General mathematics

© 2019 Gangadharan Murugusundaramoorthy, Serap Bulut, 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)