Subclass of Analytic Functions Related with Pascal Distribution Series | Zendy

Amnah E. Shammaky | Zendy; B. A. Frasin | Zendy; T. M. Seoudy | Zendy

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Subclass of Analytic Functions Related with Pascal Distribution Series

Author(s) -

Amnah E. Shammaky,

B. A. Frasin,

T. M. Seoudy

Publication year - 2022

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2022/8355285

Subject(s) - mathematics , pascal (unit) , series (stratigraphy) , analytic function , operator (biology) , pure mathematics , discrete mathematics , computer science , programming language , paleontology , biochemistry , chemistry , repressor , transcription factor , gene , biology

The prime purpose of this article is to derive a necessary and sufficient condition for a linear operator associated with the Pascal distribution series to be in the class T S μ , σ , δ of analytic functions. Moreover, inclusion relation and an integral operator linked to the Pascal distribution series is considered. We have also provided some results as corollaries of our theorems.

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