Subclass of Analytic Functions Related with Pascal Distribution Series
Amnah E. Shammaky, Basem Aref Frasin, T. M. Seoudy
Abstract
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 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.
Topics & Concepts
MathematicsPascal (unit)Series (stratigraphy)Analytic functionOperator (biology)Pure mathematicsDiscrete mathematicsComputer scienceProgramming languageGenePaleontologyChemistryBiologyBiochemistryRepressorTranscription factorAnalytic and geometric function theoryHolomorphic and Operator TheoryMeromorphic and Entire Functions