On the rank of odd hyper-quasi-polynomials
- Autores: Bykovskii V.1
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Afiliações:
- Khabarovsk Branch of Institute of Applied Mathematics, Far East Branch
- Edição: Volume 94, Nº 2 (2016)
- Páginas: 527-528
- Seção: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224245
- DOI: https://doi.org/10.1134/S1064562416050124
- ID: 224245
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Resumo
Given any nonzero entire function g: ℂ → ℂ, the complex linear space F(g) consists of all entire functions f decomposable as f(z + w)g(z - w)=φ1(z)ψ1(w)+∙∙∙+ φn(z)ψn(w) for some φ1, ψ1, …, φn, ψn: ℂ → ℂ. The rank of f with respect to g is defined as the minimum integer n for which such a decomposition is possible. It is proved that if g is an odd function, then the rank any function in F(g) is even.
Sobre autores
V. Bykovskii
Khabarovsk Branch of Institute of Applied Mathematics, Far East Branch
Autor responsável pela correspondência
Email: vab@iam.khv.ru
Rússia, ul. Dzerzhinskogo 54, Khabarovsk, 680000