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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 2, Pages 10–17 (Mi ivm9076)  
This article is cited in 1 scientific paper (total in 1 paper)

The Schwarz problem in the case of denumerable set of intervals

L. I. Vafina, I. G. Salekhova

Chair of Differential Equations, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
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Abstract: We solve a Schwarz problem for a plane domain whose boundary is a union of denumerable set of segments (including those arranged periodically) with an accumulation point at infinity. The problem is solved by the reduction to the corresponding Riemann problem in the case of a denumerable set of contours, including those arranged periodically.
Keywords: Schwarz problem for a plane, Riemann problem, singly periodic arrangement of segments, singly periodic function, doubly periodic arrangement of segments, elliptic function, quasi-elliptic function.
Received: 02.07.2014
Revised: 23.03.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 2, Pages 7–13
DOI: https://doi.org/10.3103/S1066369X1602002X
Bibliographic databases:
Document Type: Article
UDC: 517.544
Language: Russian
Citation: L. I. Vafina, I. G. Salekhova, “The Schwarz problem in the case of denumerable set of intervals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 2, 10–17; Russian Math. (Iz. VUZ), 60:2 (2016), 7–13
Citation in format AMSBIB
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\pages 7--13
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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