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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 9, Pages 19–26 (Mi ivm1708)  
This article is cited in 5 scientific papers (total in 5 papers)

The summary equation for functions holomorphic in the exterior of a triangle

F. N. Garif'yanov

Kazan State Energy University
Full-text PDF (173 kB) Citations (5)
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Abstract: We consider the six-element summarized equation in the class of functions which are holomorphic in the exterior of a regular triangle and vanishing at infinity. We apply the method of integral equations and the theory of elliptic functions. Using the obtained results, we construct biorthogonal systems of holomorphic functions and study the problem of moments for integer functions of a finite degree.
Keywords: summarized equation, biorthogonal systems, moments of integer functions.
Received: 29.09.2006
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 9, Pages 16–22
DOI: https://doi.org/10.3103/S1066369X0809003X
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: F. N. Garif'yanov, “The summary equation for functions holomorphic in the exterior of a triangle”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 9, 19–26; Russian Math. (Iz. VUZ), 52:9 (2008), 16–22
Citation in format AMSBIB
\Bibitem{Gar08}
\by F.~N.~Garif'yanov
\paper The summary equation for functions holomorphic in the exterior of a triangle
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 9
\pages 19--26
\mathnet{http://mi.mathnet.ru/ivm1708}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2468303}
\zmath{https://zbmath.org/?q=an:1176.39021}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 9
\pages 16--22
\crossref{https://doi.org/10.3103/S1066369X0809003X}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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