The Yamaguchi–Noshiro Type of Bi-Univalent Functions Connected with the Linear q-Convolution Operator

Author:

Breaz Daniel1,El-Deeb Sheza23ORCID,Aydoǧan Seher4,Sakar Fethiye5

Affiliation:

1. Department of Mathematics, “1 Decembrie 1918” University of Alba-Iulia, 510009 Alba Iulia, Romania

2. Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt

3. Department of Mathematics, College of Science and Arts, Al-Badaya, Qassim University, Buraidah 52571, Saudi Arabia

4. Department of Mathematics, Istanbul Technical University, 34485 Istanbul, Turkey

5. Department of Management, Dicle University, 21280 Diyarbakir, Turkey

Abstract

In the present paper, the authors introduce and investigate two new subclasses of the function class B of bi-univalent analytic functions in an open unit disk U connected with a linear q-convolution operator. The bounds on the coefficients |c2|,|c3| and |c4| for the functions in these new subclasses of B are obtained. Relevant connections of the results presented here with those obtained in earlier work are also pointed out.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

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