On rational addition theorems

DOI10.1016/S0022-247X(02)00250-0zbMath1020.39012OpenAlexW2084861806MaRDI QIDQ1874548

Ekaterina Shulman

Publication date: 25 May 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00250-0

zbMATH Keywords

functional equations for complex functionslinear dependence and independencequadratical dependence and independencerational addition theorems

Mathematics Subject Classification ID

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

Cites Work

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• Jacobi elliptic functions and change of variable in a convolution
• The Lax representation for an integrable class of relativistic dynamical systems
• A functional equation and Jacobian elliptic functions
• Vector addition theorems and Baker-Akhiezer functions
• Elliptic solutions of nonlinear integrable equations and related topics
• On a remarkable functional equation in the theory of generalized Dunkl operators and transformations of elliptic genera
• Elliptic Dunkl operators, root systems, and functional equations
• Holomorphic solutions of an inhomogeneous Cauchy equation
• General Analytic Solution of Certain Functional Equations of Addition Type
• On a Functional Differential Equation of Determinantal Type
• The General Analytic Solution of a Functional Equation of Addition Type

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