Email this article Hyperquasipolynomials for the Theta-Function
- Authors: Illarionov A.A.1, Romanov M.A.1
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Affiliations:
- Khabarovsk Division, Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
- Issue: Vol 52, No 3 (2018)
- Pages: 228-231
- Section: Article
- URL: https://journals.rcsi.science/0016-2663/article/view/234517
- DOI: https://doi.org/10.1007/s10688-018-0232-5
- ID: 234517
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Abstract
Let g be a linear combination with quasipolynomial coefficients of shifts of the Jacobi theta function and its derivatives in the argument. All entire functions f: ℂ → ℂ satisfying f(x+y)g(x−y) = α1(x)β1(y)+· · ·+αr(x)βr(y) for some r ∈ ℕ and αj, βj: ℂ → ℂ are described.
About the authors
A. A. Illarionov
Khabarovsk Division, Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
Author for correspondence.
Email: illar_a@list.ru
Russian Federation, Khabarovsk
M. A. Romanov
Khabarovsk Division, Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
Email: illar_a@list.ru
Russian Federation, Khabarovsk
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