Functional equations and Weierstrass sigma-functions

DOI10.1007/s10688-016-0159-7zbMath1362.33025OpenAlexW2561591736MaRDI QIDQ524116

A. A. Illarionov

Publication date: 25 April 2017

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-016-0159-7

zbMATH Keywords

functional equationelliptic functionaddition theoremWeierstrass sigma-functiontrilinear functional equation

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Elliptic functions and integrals (33E05) Functional equations for complex functions (39B32)

Related Items (13)

Solution of functional equations related to elliptic functions. II ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Solution of functional equations related to elliptic functions ⋮ On a multilinear functional equation ⋮ Calculation of hyperelliptic systems of sequences of rank 4 ⋮ The problem of separation of variables ⋮ Unnamed Item ⋮ An elementary approach to the study of Somos sequences ⋮ On products of Weierstrass sigma functions ⋮ Hyperelliptic systems of sequences of rank 4 ⋮ Unnamed Item

Cites Work

• Hyperquasipolynomials and their applications
• The addition formula for theta functions
• The addition theorem of Weierstrass's sigma function
• The characterization of theta functions by functional equations
• Trilinear functional equations
• A new look on Hankel forms over Fock space
• Higher‐order Painlevé Equations in the Polynomial Class I. Bureau Symbol P2
• Integrable equations, addition theorems, and the Riemann-Schottky problem
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