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

Authors

  • Gangadharan MURUGUSUNDARAMOORTHY Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology(VIT), Vellore, India, e-mail: gmsmoorthy@yahoo.com;gms@vit.ac.in https://orcid.org/0000-0001-8285-6619
  • Kaliappan VIJAYA Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology(VIT), Vellore, India, e-mail: kvijaya@vit.ac.in, https://orcid.org/0000-0002-3216-7038
  • Daniel BREAZ Department of Mathematics, 1 Decembrie 1918 University of Alba Iulia, Alba Iulia, Romania, e-mail: dbreaz@uab.ro, https://orcid.org/0000-0002-0095-1346
  • Luminița-Ioana COTÎRLĂ Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania, e-mail: Luminita.Cotirla@math.utcluj.ro, https://orcid.org/0000-0002-0269-0688

DOI:

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

Keywords:

Analytic functions, starlike functions, convex functions, subordination, Fekete-Szego inequality, borel distribution, Bessel function, Hadamard product

Abstract

The determination of this current paper is to find certain coefficient estimates, Fekete-Szegö inequality results for a normalized analytic function defined in the open unit disk Ud = {z : z ∈ C and |z| < 1} by convolution operator with Bessel function. In particular, we derive Fekete-Szegö 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.

Mathematics Subject Classification (2010): 30C45, 30C80.

Received 05 July 2025; Accepted 16 June 2026.

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Published

2026-09-08

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How to Cite

MURUGUSUNDARAMOORTHY, G., VIJAYA, K., BREAZ, D., & COTÎRLĂ, L.-I. (2026). Certain coefficient inequalities for some subclasses of analytic functions based on Bessel functions related with Balloon shaped domain. Studia Universitatis Babeș-Bolyai Mathematica, 71(3), 359-377. https://doi.org/10.24193/subbmath.2026.3.3

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