On certain class of analytic functions based on poisson distribution

Najafzadeh, Shahram (2020) On certain class of analytic functions based on poisson distribution. Journal of Quality Measurement and Analysis, 16 (1). pp. 91-98. ISSN 1823-5670

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Abstract

In this paper, a power series whose coefficients are the probabilities of the Poisson distribution is considered. A new subclass of univalent holomorphic functions related to Poisson distribution and convolution is introduced. Some properties such as coefficient estimates, distortion bounds, radii of starlikeness, convexity and close-to-convexity are obtained. The neighbourhood property for functions in this new subclass is also given.

Item Type:Article
Keywords:Univalent function; Poisson distribution series; Convolution; Radii of starlikeness; Convexity and close-to-convexity; Neighbourhood
Journal:Journal of Quality Measurement and Analysis
ID Code:15095
Deposited By: ms aida -
Deposited On:19 Aug 2020 02:57
Last Modified:25 Aug 2020 00:54

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