Applications of Mittag-Leffer Type Poisson Distribution to a Subclass of Analytic Functions Involving Conic-Type Regions | Zendy

Muhammad Ghaffar Khan | Zendy; Bakhtiar Ahmad | Zendy; Nazar Khan | Zendy; Wali Khan Mashwani | Zendy; Sama Arjika | Zendy; Bilal Khan | Zendy; Ronnason Chinram | Zendy

Open Access

Applications of Mittag-Leffer Type Poisson Distribution to a Subclass of Analytic Functions Involving Conic-Type Regions

Author(s) -

Muhammad Ghaffar Khan,

Bakhtiar Ahmad,

Nazar Khan,

Wali Khan Mashwani,

Sama Arjika,

Bilal Khan,

Ronnason Chinram

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/4343163

Subject(s) - mathematics , subclass , type (biology) , conic section , poisson distribution , class (philosophy) , distortion (music) , distribution (mathematics) , convex function , regular polygon , pure mathematics , combinatorics , mathematical analysis , statistics , computer science , geometry , ecology , amplifier , computer network , bandwidth (computing) , artificial intelligence , antibody , immunology , biology

In this article, we introduce a new subclass of analytic functions utilizing the idea of Mittag-Leffler type Poisson distribution associated with the Janowski functions. Further, we discuss some important geometric properties like necessary and sufficient condition, convex combination, growth and distortion bounds, Fekete-Szegö inequality, and partial sums for this newly defined class.

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