Properties of Certain Subclasses of Analytic Functions Involving q-Poisson Distribution

Bilal Khan; Zhi Guo Liu; Nazar Khan; Aftab Hussain; Nasir Khan; Muhammad Tahir

doi:10.32604/cmes.2022.016940

Properties of Certain Subclasses of Analytic Functions Involving q-Poisson Distribution

Bilal Khan, Zhi Guo Liu, Nazar Khan, Aftab Hussain, Nasir Khan, Muhammad Tahir

School of Mathematical Sciences

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

Abstract

By using the basic (or q)-Calculus many subclasses of analytic and univalent functions have been generalized and studied from different viewpoints and perspectives. In this paper, we aim to define certain new subclasses of an analytic function. We then give necessary and sufficient conditions for each of the defined function classes. We also study necessary and sufficient conditions for a function whose coefficients are probabilities of q-Poisson distribution. To validate our results, some known consequences are also given in the form of Remarks and Corollaries.

Original language	English
Journal	CMES - Computer Modeling in Engineering and Sciences
Volume	131
Issue number	1
DOIs	https://doi.org/10.32604/cmes.2022.016940
State	Published - 2022

Keywords

Analytic function
q-Poisson distribution
q-difference operator
sufficient condition

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10.32604/cmes.2022.016940

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abstract = "By using the basic (or q)-Calculus many subclasses of analytic and univalent functions have been generalized and studied from different viewpoints and perspectives. In this paper, we aim to define certain new subclasses of an analytic function. We then give necessary and sufficient conditions for each of the defined function classes. We also study necessary and sufficient conditions for a function whose coefficients are probabilities of q-Poisson distribution. To validate our results, some known consequences are also given in the form of Remarks and Corollaries.",

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author = "Bilal Khan and Liu, \{Zhi Guo\} and Nazar Khan and Aftab Hussain and Nasir Khan and Muhammad Tahir",

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T1 - Properties of Certain Subclasses of Analytic Functions Involving q-Poisson Distribution

AU - Khan, Bilal

AU - Liu, Zhi Guo

AU - Khan, Nazar

AU - Hussain, Aftab

AU - Khan, Nasir

AU - Tahir, Muhammad

PY - 2022

Y1 - 2022

N2 - By using the basic (or q)-Calculus many subclasses of analytic and univalent functions have been generalized and studied from different viewpoints and perspectives. In this paper, we aim to define certain new subclasses of an analytic function. We then give necessary and sufficient conditions for each of the defined function classes. We also study necessary and sufficient conditions for a function whose coefficients are probabilities of q-Poisson distribution. To validate our results, some known consequences are also given in the form of Remarks and Corollaries.

AB - By using the basic (or q)-Calculus many subclasses of analytic and univalent functions have been generalized and studied from different viewpoints and perspectives. In this paper, we aim to define certain new subclasses of an analytic function. We then give necessary and sufficient conditions for each of the defined function classes. We also study necessary and sufficient conditions for a function whose coefficients are probabilities of q-Poisson distribution. To validate our results, some known consequences are also given in the form of Remarks and Corollaries.

KW - Analytic function

KW - q-Poisson distribution

KW - q-difference operator

KW - sufficient condition

UR - https://www.scopus.com/pages/publications/85127972135

U2 - 10.32604/cmes.2022.016940

DO - 10.32604/cmes.2022.016940

M3 - 文章

AN - SCOPUS:85127972135

SN - 1526-1492

VL - 131

JO - CMES - Computer Modeling in Engineering and Sciences

JF - CMES - Computer Modeling in Engineering and Sciences

IS - 1

ER -

Properties of Certain Subclasses of Analytic Functions Involving q-Poisson Distribution

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Keywords

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