On a functional equation characterizing some probability distributions

UDC 517.9 We find all nonnegative solutions $f$ of the equation \[f(x)=\prod^n_{j=1}f\left( s_jx\right)^{p_j},\] defined in a one-sided vicinity of $0$ and having a prescribed asymptotic at $0.$ The main  theorem extends a result&a...

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Bibliographic Details
Date:2024
Main Authors: Jarczyk, Justyna, Jarczyk, Witold
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2024
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7672
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal