Pascal distribution series for subclasses of analytic functions associated with conic domains

B. A. Frasin; S. M. Aydoğan

doi:10.1007/s13370-020-00813-1

Pascal distribution series for subclasses of analytic functions associated with conic domains

B. A. Frasin^*, S. M. Aydoğan

^*Corresponding author for this work

Department of Mathematics Engineering

Al al-Bayt University

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

In the present paper, we determine sufficient conditions for the Pascal distribution series P(X=r)=(r+m-1m-1)qr(1-q)m, to be in the subclasses of k-parabolic functions and k-uniformly convex functions associated with conic domains. Further, we consider an integral operator related to Pascal distribution series. Some interesting special cases of our main results are also considered.

Original language	English
Pages (from-to)	105-113
Number of pages	9
Journal	Afrika Matematika
Volume	32
Issue number	1-2
DOIs	https://doi.org/10.1007/s13370-020-00813-1
Publication status	Published - Mar 2021

Bibliographical note

Publisher Copyright:
© 2020, African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature.

Keywords

Analytic functions
Hadamard product
Pascal distribution series

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10.1007/s13370-020-00813-1

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abstract = "In the present paper, we determine sufficient conditions for the Pascal distribution series P(X=r)=(r+m-1m-1)qr(1-q)m, to be in the subclasses of k-parabolic functions and k-uniformly convex functions associated with conic domains. Further, we consider an integral operator related to Pascal distribution series. Some interesting special cases of our main results are also considered.",

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N2 - In the present paper, we determine sufficient conditions for the Pascal distribution series P(X=r)=(r+m-1m-1)qr(1-q)m, to be in the subclasses of k-parabolic functions and k-uniformly convex functions associated with conic domains. Further, we consider an integral operator related to Pascal distribution series. Some interesting special cases of our main results are also considered.

AB - In the present paper, we determine sufficient conditions for the Pascal distribution series P(X=r)=(r+m-1m-1)qr(1-q)m, to be in the subclasses of k-parabolic functions and k-uniformly convex functions associated with conic domains. Further, we consider an integral operator related to Pascal distribution series. Some interesting special cases of our main results are also considered.

KW - Analytic functions

KW - Hadamard product

KW - Pascal distribution series

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ER -

Pascal distribution series for subclasses of analytic functions associated with conic domains

Abstract

Bibliographical note

Keywords

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