FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
On the connection between hyperelliptic systems of sequences and functions |
Illarionov A.A., Romanov M.A. |
2017, issue 2, P. 210-220 |
Abstract |
| We study the connection between 1-periodic solutions of the functional equation $$ f(x+y)g(x-y)=\sum_{j=1}^N\varphi_j(x)\psi_j(y) \quad (x,y\in \CC) $$ and some sequences of special kind. As an application we solve the equation in the case when $g$ is Jacobi theta function. |
Keywords: functional equation, Weierstrass sigma function, Jacobi theta function, addition formula, elliptic functions, nonlinear sequences |
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References |
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