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New conditions for Pascal distribution series to be in a certain class of analytic functions
Basem Aref Frasin1, Luminiţa-Ioana Cotîrlă2
1Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq, Jordan.
Abstract:
Studies of Sălăgean differential operator in connection with Stirling numbers are relatively new. In this paper, the differential operator involving Stirling numbers is considered. New necessary and sufficient conditions involving Stirling numbers for the series written by the Pascal distribution are discussed for the subclass . Also, we provide sufficient condition for the inclusion relation . Further, we consider the properties of integral operator related to Pascal distribution series. New special cases as consequences of the main results are also obtained.
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