Fuzzy differential subordination and superordination results for the Mittag-Leffler type Pascal distribution

被引:2
|
作者
Soren, Madan Mohan [1 ]
Cotirla, Luminita-Ioana [2 ]
机构
[1] Berhampur Univ, Dept Math, Bhanja Bihar 760007, Odisha, India
[2] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca 400114, Romania
来源
AIMS MATHEMATICS | 2024年 / 9卷 / 08期
关键词
analytic function; fuzzy di ff erential subordinations and fuzzy di ff erential superordinations; Mittag-Le ffl er functions; Mittag-Le ffl er type Pascal distribution; sandwich-type results;
D O I
10.3934/math.20241023
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we derive several fuzzy differential subordination and fuzzy differential superordination results for analytic functions Ms,gamma xi,beta, which involve the extended Mittag-Leffler function and the Pascal distribution series. We also investigate and introduce a class MBF,s,gamma and univalent functions in the open unit disc D by employing the newly defined operator Ms,gamma 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.
引用
收藏
页码:21053 / 21078
页数:26
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