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JOURNALS // Ufimskii Matematicheskii Zhurnal // Archive

Ufimsk. Mat. Zh., 2016 Volume 8, Issue 2, Pages 106–113 (Mi ufa343)

This article is cited in 1 paper

On the expansion of a meromorphic function in partial fractions

L. S. Maergoiz

Siberian Federal University, Svobodnii av., 79, 660041, Krasnoyarsk, Russia

Abstract: The paper is devoted to the expansion in partial fractions for a meromorphic function of one complex variable. It contains the results by the author on representing a meromorphic function as a sum of an entire function and the principal parts in its Laurent expansion at its poles.

Keywords: expansion in partial fractions, reciprocal of entire function, meromorphic function, proximate order, indicator.

UDC: 517.547

MSC: 30A20

Received: 21.11.2015

Language: English


 English version:
Ufa Mathematical Journal, 2016, 8:2, 104–111

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© Steklov Math. Inst. of RAS, 2025