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This article is cited in 8 scientific papers (total in 8 papers)
Hyperelliptic systems of sequences of rank 4
A. A. Illarionovab a Khabarovsk Division of the Institute for Applied Mathematics,
Far Eastern Branch of the Russian Academy of Sciences, Khabarovsk, Russia
b Pacific National University, Khabarovsk, Russia
Abstract:
Sequences of complex numbers satisfying functional relations of bilinear type are investigated. The results obtained are used in describing all 1-periodic entire functions $f\colon \mathbb C\to\mathbb C$ such that the expansion ${f(x+y)f(x-y)}=\varphi_1(x)\psi_1(y)+\dots+\varphi_4(x)\psi_4(y)$ holds for some $\varphi_j,\psi_j\colon\mathbb C\to\mathbb C$.
Bibliography: 38 titles.
Keywords:
addition theorems, elliptic functions, functional equations, nonlinear recurrent sequences.
Received: 15.12.2017 and 10.04.2019
Citation:
A. A. Illarionov, “Hyperelliptic systems of sequences of rank 4”, Sb. Math., 210:9 (2019), 1259–1287
Linking options:
https://www.mathnet.ru/eng/sm9050https://doi.org/10.1070/SM9050 https://www.mathnet.ru/eng/sm/v210/i9/p59
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