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

作　　者：Bilal Khan Zhi-Guo Liu Nazar Khan Aftab Hussain Nasir Khan Muhammad Tahir 

机构地区：[1]School of Mathematical Sciences and Shanghai Key Laboratory of PMMP,East China Normal University,Shanghai,200241,China [2]Department of Mathematics,Abbottabad University of Science and Technology,Abbottabad,22010,Pakistan [3]Department of Mathematics,King Abdulaziz University,Jeddah,21589,Saudi Arabia [4]Department of Mathematics,FATA University,Akhorwal(Darra Adam Khel),FR Kohat,26000,Pakistan

出　　处：《Computer Modeling in Engineering & Sciences》2022年第6期1465-1477,共13页工程与科学中的计算机建模（英文）

摘　　要：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.

关 键 词：Analytic function q-difference operator sufficient condition q-Poisson distribution 

分 类 号：O17[理学—数学]