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

Daniel Breaz, Sheza M. El-Deeb, Seher Melike Aydoǧan and Fethiye Müge Sakar ()
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Daniel Breaz: Department of Mathematics, “1 Decembrie 1918” University of Alba-Iulia, 510009 Alba Iulia, Romania
Sheza M. El-Deeb: Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt
Seher Melike Aydoǧan: Department of Mathematics, Istanbul Technical University, 34485 Istanbul, Turkey
Fethiye Müge Sakar: Department of Management, Dicle University, 21280 Diyarbakir, Turkey

Mathematics, 2023, vol. 11, issue 15, 1-13

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 | c 2 | , | c 3 | and | c 4 | 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.

Keywords: univalent functions; fractional derivatives; convolution; analytic functions; bi-univalent functions; coefficient bounds (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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