Jacobi elliptic functions and change of variable in a convolution

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1990 Germany English Publisher:Springer Science and Business Media LLCJournal:Aequationes mathematicae, volume 39, pages 114-119 (issn: 0001-9054, eissn: 1420-8903,

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Authors: McGill, Paul;

doi: 10.1007/bf01833947

Jacobi elliptic functions and change of variable in a convolution

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Abstract

The author considers the functional equation \(G(y+x)/G(y- x)=(f(y)+f(x))/(f(y)-f(x))\) connected with the Brownian motion. He gives the complete set of solutions of this equation in the class of meromorphic functions.

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Germany

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Keywords

510.mathematics, Elliptic functions and integrals, convolution, Functional inequalities, including subadditivity, convexity, etc., meromorphic functions, Brownian motion, Jacobi elliptic functions, Article

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