This article is cited in 2 papers

The divisor of a generalized analytic function

S. A. Grigoryan

Kazan Branch of Moscow Power Engineering Institute

Abstract: For generalized analytic functions, we define the order of a zero and prove the following division theorem: if the orders of zeros of the numerator majorize those of the denominator, then the fraction is a generalized analytic function.

UDC: 517.966

Received: 17.08.1994
Revised: 15.11.1996

DOI: 10.4213/mzm1546

 English version: Mathematical Notes, 1997, 61:5, 547–552

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