Jacobi elliptic functions and change of variable in a convolution
type: Item
instance of: scholarly article
title: Jacobi elliptic functions and change of variable in a convolution
zbMATH Open document ID: 0689.39005
DOI: 10.1007/BF01833947
author: Paul McGill
published in: Aequationes Mathematicae
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/137342
review text: 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.
reviewed by: Kazimierz Nikodem
Mathematics Subject Classification ID: 39B62
Mathematics Subject Classification ID: 33E05
Mathematics Subject Classification ID: 60J65
zbMATH DE Number: 4129361
zbMATH Keywords: Jacobi elliptic functions
zbMATH Keywords: convolution
zbMATH Keywords: Brownian motion
zbMATH Keywords: meromorphic functions
MaRDI profile type: Publication
cites work: Q5820721
cites work: Wiener-Hopf factorisation of Brownian motion
Recommended article: Expression of elliptic functions in terms of Jacobi functions
Recommended article: On Jacobi's transformation theory of elliptic functions
Recommended article: Note on the Jacobi elliptic functions
Recommended article: Jacobian elliptic functions as inverses of an integral
Recommended article: On Properties of Elliptic Jacobi Functions and Applications
Recommended article: Some reformulated properties of Jacobian elliptic functions
Recommended article: Q5313563
Recommended article: A functional equation and Jacobian elliptic functions
Recommended article: Q4399842
description: scientific article; zbMATH DE number 4129361