@article{Mondal2025, 
author = {Saiful Rahman Mondal and Ahlam Almulhim},
title = {Inclusion of Bessel functions in a subclass of spiral functions},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {8},
pages = {17362-17380},
keywords = {spiral functions, Bessel function, zero of Bessel functions, starlike},
url = {https://www.sciopen.com/article/10.3934/math.2025776},
doi = {10.3934/math.2025776},
abstract = {In this article, we derived conditions on the order    ν of the classical Bessel functions        J          ν       that guarantee the inclusion of three distinct normalized forms of        J          ν       in a subclass of    α-spirallike functions. The primary goal was to determine the subintervals within    (  −      π    2    ,      π    2    ) where these inclusion conditions are satisfied. A key component in establishing our results was the upper bound of the ratio        J          ν      +      1        (  1  )      /        J          ν        (  1  ). The theoretical findings were validated through numerical experiments and accompanying graphical demonstrations.}
}