Certain subclasses of spirallike univalent functions related to Poisson distribution series

2021 ◽  
Keyword(s):  
Poisson Distribution ◽  
Univalent Functions ◽  
Poisson Distribution Series

An application of certain convolution operator involving Poisson distribution series

2016 ◽  
Vol 09 (04) ◽  
pp. 1650085 ◽  
Author(s):  
Saurabh Porwal
Keyword(s):  
Poisson Distribution ◽  
Convolution Operator ◽  
Unit Disc ◽  
Univalent Functions ◽  
Open Unit ◽  
Open Unit Disc ◽  
Poisson Distribution Series

The purpose of this paper is to establish connections between various subclasses of analytic univalent functions by applying certain convolution operator involving Poisson distribution series. To be more precise, we investigate such connections with the classes of analytic univalent functions [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] in the open unit disc [Formula: see text].

scholarly journals Poisson distribution series on a general class of analytic functions

2020 ◽  
Vol 24 (2) ◽  
pp. 241-251
Author(s):  
Basem A. Frasin
Keyword(s):  
Integral Operator ◽  
Poisson Distribution ◽  
Analytic Functions ◽  
General Class ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Class A ◽  
Poisson Distribution Series ◽  
Necessary And Sufficient

The main object of this paper is to find necessary and sufficient conditions for the Poisson distribution series to be in a general class of analytic functions with negative coefficients. Further, we consider an integral operator related to the Poisson distribution series to be in this class. A number of known or new results are shown to follow upon specializing the parameters involved in our main results.

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