DOI: 10.4213/im9321e ISSN: 1064-5632

Calculation of hyperelliptic systems of sequences of rank 4

Andrei Anatol'evich Illarionov
  • General Mathematics

Formulas for sequences of complex numbers satisfying functional relations of bilinear type are investigated. The results obtained are used in describing all 1-periodic entire functions $f,g\colon \mathbb{C}\to\mathbb{C}$ satisfying $f(x+y)g(x-y)=\phi_1(x)\psi_1(y)+…+\phi_4(x)\psi_4(y)$ for some $\phi_j,\psi_j\colon \mathbb{C}\to\mathbb{C}$.

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