CERTAIN CLASSES OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH $q-$ANALOGUE OF BESSEL FUNCTIONS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 139

Volume : 16 , Issue : 3
DOI:
Author :
S. R. Swamy (Department of Computer Science and Engineering, R. V. College of Engineering, Bangalore - 560059 Karnataka, INDIA)
P. K. Mamatha (Department of Mathematics, R. V. College of Engineering, Bangalore - 560059, Karnataka, INDIA)

Abstract

In this paper we consider various subclasses of bi-univalent functions defined by the Horadam polynomials associated with q-analogue of Bessel functions. Further, we obtain coefficient estimates and Fekete-Szeg\"{o} inequalities for the defined classes.

Keywords and Phrases

Univalent functions, bi-univalent functions, bi-convex functions, bi-starlike functions, Fekete-Szeg\"{o} inequality, $q-$derivative operator, Horadam polynomials, Bessel functions.

A.M.S. subject classification

Primary 11B39, 30C45, 33C45, Secondary 30C50, 33C05.

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