Про розподіл степеневого ряду з параметризацією середнім

The article examines the distribution of the power series of the function  . The distribution of the considered function into a power series is obtained The dispersion function is found . A distribution with mean parameterization is constructed . It is proved that the raw moments, central moments,  cumulants  satisfy the following recurrence relations: 

Publication Details

Journal
Scientific periodicals of Ukraine
Published
2025-10-28
Primary Topic
Meromorphic and Entire Functions
Type
article
Field-Weighted Citation Impact
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article

Про розподіл степеневого ряду з параметризацією середнім

Scientific periodicals of Ukraine
Meromorphic and Entire Functions
article

Про розподіл степеневого ряду з параметризацією середнім

article en

Abstract

The article examines the distribution of the power series of the function  . The distribution of the considered function into a power series is obtained The dispersion function is found . A distribution with mean parameterization is constructed . It is proved that the raw moments, central moments,  cumulants  satisfy the following recurrence relations: 

Scientific periodicals of Ukraine
Openalex Percentile: Top 27%
Meromorphic and Entire Functions
Open Access PDFOpenAlex
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Про розподіл степеневого ряду з параметризацією середнім · Scientific periodicals of Ukraine (2025) | TGRS Research Map | TGRS