Properties of Laplace-Stieltjes-type integrals

The properties of Laplace-Stieltjes-type integrals $I(r)=\int_{0}^{\infty}a(x)f(xr)dF(x)$ are studied, where $F$ is a non-negative non-decreasing unbounded continuous on the right function on $[0,\,+\infty)$, $f(z)=\sum_{k=0}^{\infty}f_kz^k$ is an entire transcendental function with $f_k\ge 0$ for a...

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Bibliographic Details
Main Author: M. M. Sheremeta
Format: Article
Language:German
Published: Ivan Franko National University of Lviv 2023-12-01
Series:Математичні Студії
Subjects:
Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/444
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