caa a22 4500 465824927 CHVBK 20180323112146.0 cr unu---uuuuu 170327e19900201xx s 000 0 eng 10.1007/BF01833947 doi (NATIONALLICENCE)springer-10.1007/BF01833947 McGill Paul Department of Mathematics, University of California, 92717, Irvine, CA, USA aut Jacobi elliptic functions and change of variable in a convolution [Elektronische Daten] [Paul McGill] Summary: We solve the functional equation $$\frac{{G(y + x)}}{{G(y - x)}} = \frac{{f(y) + f(x)}}{{f(y) - f(x)}}$$ where (f, G) are a pair of meromorphic functions. This equation comes from a convolution identity related to Brownian motion, and its solutions are given by certain Jacobi elliptic functions. Birkhäuser Verlag, 1990 Primary 39B30 nationallicence Secondary 33A25 nationallicence aequationes mathematicae Birkhäuser-Verlag 39/1(1990-02-01), 114-119 0001-9054 39:1<114 1990 39 10 https://doi.org/10.1007/BF01833947 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01833947 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- McGill Paul Department of Mathematics, University of California, 92717, Irvine, CA, USA aut NATIONALLICENCE 773 0- aequationes mathematicae Birkhäuser-Verlag 39/1(1990-02-01), 114-119 0001-9054 39:1<114 1990 39 10 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer