Subclasses of analytic functions associated with Pascal distribution series

Open Access

Original research article

Author(s):

Basem Aref Frasin

Faculty of Science, Department of Mathematics, Al al-Bayt University, Mafraq, Jordan

Advances in the Theory of Nonlinear Analysis and its Applications 4 (2), 92-99.

Received: February 22, 2020

Accepted: April 18, 2020

Published: April 19, 2020

Abstract

In the present paper, we determine necessary and sufficient conditions for the Pascal distribution series to be in the subclasses S(k,λ) and C(k,λ) of analytic functions. Further, we consider an integral operator related to Pascal distribution series. Some interesting special cases of our main results are also considered.

Keywords: Analytic functions; Hadamard product; Pascal distribution series.

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APA Style

Frasin, B. (2020). Subclasses of analytic functions associated with Pascal distribution series. Advances in the Theory of Nonlinear Analysis and its Application , 4 (2), 92-99.