This article is cited in 8 papers

Representation of functions analytic in a closed domain by series of rational functions

T. A. Leont'eva

M. V. Lomonosov Moscow State University

Abstract: A method is given for representing functions analytic in a closed Jordan domain by series of the form $\sum_{n=1}^\infty\frac{A_n}{z-\alpha_n}$ (where the poles $\alpha_n$ lie outside the domain) and a bound is obtained for the coefficients $A_n$.

UDC: 517.5

Received: 18.01.1968

 English version: Mathematical Notes, 1968, 4:2, 606–611

Bibliographic databases:

• 
•