FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1997, VOLUME 3, NUMBER 3, PAGES 637-652
E. N. Alexeeva
Abstract
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The aim of the paper is to search the conditions of the
expansion of the functions analytical in a unit circle in a series
of the
$\sum\limits_{j=1}^{\infty} d_{j} f(\lambda_{j}z)$
kind, where $f(z)$ is
the function analytical in a unit circle,
$|\lambda_{j}|<1$ . The
proved theorems contain as a special case the well-known
results about the
expansion of analytical functions in the rational series of the
form $\sum\limits_{j=1}^{\infty}
\frac{d_{j}}{1-\lambda_{j}z}$ .
All articles are published in Russian.
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