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Dal'nevostochnyi Matematicheskii Zhurnal, 2016, Volume 16, Number 2, Pages 169–180 (Mi dvmg331)  
This article is cited in 4 scientific papers (total in 4 papers)

Solutions of a functional equation concerning with trilinear differential operators

A. A. Illarionovab

a Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
b Pacific National University, Khabarovsk
Full-text PDF (129 kB) Citations (4)
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Abstract: We solve the functional equation
$$ f(x+z)f(y+z)f(x+y-z) = \sum_{j=1}^m \phi_j(x,y)\psi_j(z) $$
for $m\le 5$.
Key words: functional equation, the Weierstrass sigma function, elliptic function, addition theorems, trilinear equations.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00203
Far Eastern Branch of the Russian Academy of Sciences 15-I-4-047
Government of Khabarovsk Territory 479-РП
Received: 30.09.2016
Bibliographic databases:
Document Type: Article
UDC: 517.965, 517.583
MSC: Primary 39B32; Secondary 33E05
Language: Russian
Citation: A. A. Illarionov, “Solutions of a functional equation concerning with trilinear differential operators”, Dal'nevost. Mat. Zh., 16:2 (2016), 169–180
Citation in format AMSBIB
\Bibitem{Ill16}
\by A.~A.~Illarionov
\paper Solutions of a functional equation concerning with trilinear differential operators
\jour Dal'nevost. Mat. Zh.
\yr 2016
\vol 16
\issue 2
\pages 169--180
\mathnet{http://mi.mathnet.ru/dvmg331}
\elib{https://elibrary.ru/item.asp?id=27701001}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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