Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 18 (2023), 97 -- 105

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AN APPLICATION OF THE PASCAL DISTRIBUTION SERIES FOR A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS

B.A. Frasin

Abstract. In the present paper, we determine necessary and sufficient conditions for the subclass T(α, b) of analytic functions associated with Pascal distribution. Further, we consider properties of a special function related to Pascal distribution series. Several corollaries and consequences of the main results are also considered.

2020 Mathematics Subject Classification: 30C45
Keywords: Analytic functions; Hadamard product; Pascal distribution series

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B.A. Frasin
Al al-Bayt University, Faculty of Science, Department of Mathematics,
Mafraq, Jordan.
e-mail: bafrasin@yahoo.com

http://www.utgjiu.ro/math/sma