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

S. R. Swamy; P. K. Mamatha

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

Volume 16, Issue 3 Pages 61-82 December 30, 2020 279 downloads

Article overview

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 functionsbi-univalent functionsbi-convex functionsbi-starlike functionsFekete-Szeg\"{o} inequality$q-$derivative operatorHoradam polynomialsBessel functions.

AMS Subject Classification

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

Reference information

How to Cite

S. R. Swamy, P. K. Mamatha (2020). CERTAIN CLASSES OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH $q-$ANALOGUE OF BESSEL FUNCTIONS. South East Asian Journal of Mathematics and Mathematical Sciences, 16(3), 61-82.

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