On some properties of the maximal term of series in systems of functions

For an entire transcendental function $f$ and a sequence $(\lambda_n)$ of positive numbers increa\-sing to $+\infty$ a series $A(z)=\sum_{n=1}^{\infty}a_nf(\lambda_n z)$ in the system $\{f(\lambda_nz)\}$ is said to be regularly convergent in ${\mathbb C}$ if $\mathfrak{M}(r,A)=\sum_{n=1}^{\infty}...

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Bibliographic Details
Main Authors: M. M. Sheremeta, Yu. M. Gal'
Format: Article
Language:German
Published: Ivan Franko National University of Lviv 2024-09-01
Series:Математичні Студії
Subjects:
Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/555
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