An Application for Bi-Concave Functions Associated with q -Convolution

Sheza M. El-Deeb and Adriana Catas ()
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Sheza M. El-Deeb: Department of Mathematics, College of Science and Arts, Al-Badaya, Qassim University, Buraidah 52571, Saudi Arabia
Adriana Catas: Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania

Mathematics, 2023, vol. 11, issue 22, 1-11

Abstract: The aim of this paper is to introduce and investigate some new subclasses of bi-concave functions using q -convolution and some applications. These special cases are obtaining by making use of a q - derivative linear operator. For the new introduced subclasses, the authors obtain the first two initial Taylor–Maclaurin coefficients | c 2 | and | c 3 | of bi-concave functions. For certain values of the parameters, the authors deduce interesting corollaries for coefficient bounds which imply special cases of the new introduced operator. Also, we develop two examples for coefficients | c 2 | and | c 3 | for certain functions.

Keywords: bi-concave; convolution; fractional derivative; q-derivative; q-analogue of poisson operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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