On certain subclasses of analytic functions associated with Poisson distribution series

2018/11/14 by Basem Aref Frasin, Frasin, B. A.
Mathematics · #30C45 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1811.06132

openalex publication_date 2018/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we find the necessary and sufficient conditions, inclusion relations for Poisson distribution series K(m,z)=z+∑_n=2^∞ \fracm^n-1(n-1)!e^-mzⁿ belonging to the subclasses S(k,λ) and C(k,λ) of analytic functions with negative coefficients. Further, we consider the integral operator G(m,z) = ∫₀^z \fracF(m,ζ)ζ dζ belonging to the above classes.

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