Open AccessSubclass of analytic functions associated with Pascal distribution series
Author(s) -
B. A. Frasin,
G. Murugusundaramoorthy,
Sibel Yalçın
Publication year - 2020
Publication title -
bulletin of the "transilvania" university of braşov. series iii, mathematics, informatics, physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.203
H-Index - 5
eISSN - 2065-216X
pISSN - 2065-2151
DOI - 10.31926/but.mif.2020.13.62.2.11
Subject(s) - pascal (unit) , subclass , mathematics , series (stratigraphy) , analytic function , calculus (dental) , algebra over a field , pure mathematics , computer science , programming language , medicine , paleontology , dentistry , antibody , immunology , biology
In this paper, we find the necessary and sufficient conditions and inclusion relations for Pascal distribution series to be in the classes Wδ(α, γ, β) of analytic functions. Further, we consider an integral operator related to Pascal distribution series. Several corollaries and consequences of the main results are also considered.