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

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 ea...

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Bibliographic Details
Main Authors: Hussain, A. (Author), Khan, B. (Author), Khan, N. (Author), Liu, Z.-G (Author), Tahir, M. (Author)
Format: Article
Language:English
Published: Tech Science Press 2022
Subjects:
Online Access:View Fulltext in Publisher
LEADER 01900nam a2200409Ia 4500
001 10.32604-cmes.2022.016940
008 220425s2022 CNT 000 0 und d
020 |a 15261492 (ISSN) 
245 1 0 |a Properties of Certain Subclasses of Analytic Functions Involving q-Poisson Distribution 
260 0 |b Tech Science Press  |c 2022 
856 |z View Fulltext in Publisher  |u https://doi.org/10.32604/cmes.2022.016940 
520 3 |a 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. © 2022 Tech Science Press. All rights reserved. 
650 0 4 |a Analytic function 
650 0 4 |a Analytic functions 
650 0 4 |a Calculations 
650 0 4 |a Condition 
650 0 4 |a Defined functions 
650 0 4 |a Difference operators 
650 0 4 |a Function class 
650 0 4 |a Functional analysis 
650 0 4 |a Functions 
650 0 4 |a Poisson distribution 
650 0 4 |a Property 
650 0 4 |a q-difference operator 
650 0 4 |a Q-difference operator 
650 0 4 |a q-Poisson distribution 
650 0 4 |a Q-poisson distribution 
650 0 4 |a sufficient condition 
650 0 4 |a Sufficient condition 
650 0 4 |a Univalent function 
700 1 |a Hussain, A.  |e author 
700 1 |a Khan, B.  |e author 
700 1 |a Khan, N.  |e author 
700 1 |a Khan, N.  |e author 
700 1 |a Liu, Z.-G.  |e author 
700 1 |a Tahir, M.  |e author 
773 |t CMES - Computer Modeling in Engineering and Sciences