@article{Giri2025, 
author = {Manas Kumar Giri and Narjes Alabkary and Raghavendar Kondooru and Saiful R. Mondal},
title = {Geometric analysis of integral operators related to Touchard polynomials and generalized Bessel functions},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {12},
pages = {28753-28784},
keywords = {special functions, convex functions, starlike functions, spirallike functions, integral operators},
url = {https://www.sciopen.com/article/10.3934/math.20251265},
doi = {10.3934/math.20251265},
abstract = {This article investigated the inclusion properties of Touchard polynomials        Y    m    (  p  ,  z  ) and generalized Bessel functions of the first kind              G        a    (  z  ), along with their associated convolution and integral operators, within the analytic function classes              R              s      ,      d              w        (  δ  ) and              M              b      ,      s              w        (  δ  ). Using coefficient bounds of certain function classes, we derived sufficient conditions for the convolution operators              Y        m    p    (  ψ  ,  z  ) and              E                      l                  a                    ,      c        (  ψ  ,  z  ), and the integral operators              Y        m    (  p  ,  z  ) and              G              a        (  z  ) to belong to various subclasses of starlike and convex functions. Furthermore, inclusion results among these subclasses were obtained, thereby extending and unifying several existing results in geometric function theory.}
}