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On products of Weierstrass sigma functions

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Publication:2307890
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DOI10.1007/s10958-019-04587-1zbMath1435.30095OpenAlexW2987506660MaRDI QIDQ2307890

A. A. Illarionov

Publication date: 25 March 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04587-1


zbMATH Keywords

entire functionsWeierstrass \(\sigma\)-function


Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Entire functions of one complex variable (general theory) (30D20)




Cites Work

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  • Hyperquasipolynomials and their applications
  • On the rank of odd hyper-quasi-polynomials
  • Functional equations and Weierstrass sigma-functions
  • The addition formula for theta functions
  • The addition theorem of Weierstrass's sigma function
  • Generalized sine equations. I
  • Solution of functional equations related to elliptic functions
  • The characterization of theta functions by functional equations
  • Trilinear functional equations




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