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An application of Mittag–Leffler-type Poisson distribution on certain subclasses of analytic functions associated with conic domains

In this paper our aim is to deduce some sufficient conditions and inclusion properties for Mittag-Leffler-type Poisson distribution series [Formula: see text] to be in the classes k- [Formula: see text] and k- [Formula: see text] of k-uniformly Janowski starlike and k-Janowski convex functions, resp...

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Detalles Bibliográficos
Autores principales: Ahmad, Morad, Frasin, Basem, Murugusundaramoorthy, Gangadharan, Al-khazaleh, Ahmad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8502901/
https://www.ncbi.nlm.nih.gov/pubmed/34660926
http://dx.doi.org/10.1016/j.heliyon.2021.e08109
Descripción
Sumario:In this paper our aim is to deduce some sufficient conditions and inclusion properties for Mittag-Leffler-type Poisson distribution series [Formula: see text] to be in the classes k- [Formula: see text] and k- [Formula: see text] of k-uniformly Janowski starlike and k-Janowski convex functions, respectively. Further, we obtain a condition for an integral operator [Formula: see text] to be in the class k- [Formula: see text]. Several corollaries and consequences of the main results are also considered.