A. A. Illarionov, “Solutions of a functional equation concerning with trilinear differential operators”, Dal'nevost. Mat. Zh., 16:2 (2016), 169

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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. Illarionov^ab

^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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https://www.mathnet.ru/eng/dvmg331

https://www.mathnet.ru/eng/dvmg/v16/i2/p169

This publication is cited in the following 4 articles:

Citing articles in Google Scholar: Russian citations, English citations
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