Fekete-Szego ̈ Inequality and Application of Poisson Distribution Series for some Subclasses of Analytic Functions related with Bessel Functions

Authors

Gangadharan Murugusundaramoorthy, Department of Mathematics, SAS, Vellore Institute of Technology, Vellore - 632014, IndiaFollow
Hemen Dutta, Department of Mathematics, Gauhati University, Guwahati-781014, IndiaFollow

Author Country (or Countries)

India

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 D = {z : z ∈ C and |z| < 1} by convolution operator with Bessel function. In particular, we derived Fekete-Szego ̈ inequality for a class of functions defined through Poisson distribution.The results presented in this paper would generalize some related works of several earlier authors.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160218

Recommended Citation

Murugusundaramoorthy, Gangadharan and Dutta, Hemen (2022) "Fekete-Szego ̈ Inequality and Application of Poisson Distribution Series for some Subclasses of Analytic Functions related with Bessel Functions," Applied Mathematics & Information Sciences: Vol. 16: Iss. 2, Article 18.
DOI: http://dx.doi.org/10.18576/amis/160218
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss2/18