Coefficient Estimates for Some Classes of Biunivalent Function Associated with Jackson <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>q</mi> </math>-Difference Operator-Reference-Cited by-同舟云学术

Coefficient Estimates for Some Classes of Biunivalent Function Associated with Jackson $q$ -Difference Operator

Author:

Ali Ekram E.¹²^ORCID,Lashin Abdel Moneim³⁴^ORCID,Albalahi Abeer M.¹

Affiliation:

1. Department of Mathematics, College of Science, University of Ha’il, Ha’il 81451, Saudi Arabia

2. Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said 42521, Egypt

3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

4. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Abstract

Using the Jackson

q

-difference operator, we present two new subclasses of biunivalent functions. Furthermore, we estimate the initial Taylor-Maclaurin coefficients

|a_{2}|

and

|a_{3}|

of functions belonging to these new subclasses. Our results generalize some of the previously related works of several authors.

Publisher

Hindawi Limited

Subject

Analysis

Link

Reference37 articles.

2. On q-functions and a certain difference operator;F. H. Jackson;Transactions of the Royal Society of Edinburgh,1909

3. On q-definite integrals;F. H. Jackson;Quarterly Journal of Pure and Applied Mathematics,1910

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