Certain coefficient inequalities for some subclasses of analytic functions based on Bessel functions related with Balloon shaped domain

Gangadharan Murugusundaramoorthy; Kaliappan Vijaya; Daniel Breaz; Luminița-Ioana Cotîrlă

doi:10.24193/subbmath.2026.3.3

Authors

Gangadharan Murugusundaramoorthy Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, India https://orcid.org/0000-0001-8285-6619
Kaliappan Vijaya Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, India. https://orcid.org/0000-0002-3216-7038
Daniel Breaz Department of Mathematics, 1 Decembrie 1918 University of Alba Iulia, Alba Iulia, Romania https://orcid.org/0000-0002-0095-1346
Luminița-Ioana Cotîrlă Department of Mathematics, Technical University of Cluj-Napoca, Romania https://orcid.org/0000-0002-0269-0688

DOI:

https://doi.org/10.24193/subbmath.2026.3.3

Abstract

The determination of this current paper is to find certain coefficient estimates, Fekete-Szego inequality results for a normalized analytic function defined in the open unit disk by convolution operator with Bessel function. In particular, we derived Fekete-Szego inequality for a class of functions defined through Borel distribution. The results presented in this paper would generalize some related works of several earlier authors.

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