@article{Soren2024, 
author = {Madan Mohan Soren and Luminiţa-Ioana Cotîrlǎ},
title = {Fuzzy differential subordination and superordination results for the Mittag-Leffler type Pascal distribution},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {8},
pages = {21053-21078},
keywords = {analytic function, fuzzy differential subordinations and fuzzy differential superordinations, Mittag-Leffler functions, Mittag-Leffler type Pascal distribution, sandwich-type results},
url = {https://www.sciopen.com/article/10.3934/math.20241023},
doi = {10.3934/math.20241023},
abstract = {In this paper, we derive several fuzzy differential subordination and fuzzy differential superordination results for analytic functions  Mξ,βs,γ, which involve the extended Mittag-Leffler function and the Pascal distribution series. We also investigate and introduce a class  MBξ,βF,s,γ(ρ) of analytic and univalent functions in the open unit disc  D by employing the newly defined operator  Mξ,βs,γ. We determine a specific relationship of inclusion for this class. Further, we establish prerequisites for a function role in serving as both the fuzzy dominant and fuzzy subordinant of the fuzzy differential subordination and superordination, respectively. Some novel results that are sandwich-type can be found here.}
}