International Journal of Nonlinear Analysis and Applications
On new subclasses of analytic functions associated with generalized Bessel functions
Document Type : Research Paper
Authors
1 Mathematics Programme, National Mathematical Centre, Abuja, Nigeria
2 Department of Mathematics. University of Ilorin, P.M.B. 1515, Ilorin, Nigeria
Abstract
Bessel functions arise in the solution of many physical and mathematical problems. This, with some other special functions, has recently gained increased importance in the study of geometric function theory. The aim of this paper is to establish some geometric properties such as coefficient inequalities, characterization properties and convolution properties for the new subclasses $Q_n(\lambda,\alpha,\beta,\mu,t)$, $P_n(\lambda,\alpha,\beta,\mu,t)$ and $P^*_n(\lambda,\alpha,\beta,\mu,t)$ of univalent functions defined by Opoola Differential Operator in collaboration with generalized Bessel functions.
Keywords
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Articles in Press, Corrected Proof
Available Online from 25 October 2025
- Receive Date: 21 June 2024
- Revise Date: 22 November 2024
- Accept Date: 10 December 2024