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ON A FUNCTIONAL DIFFERENTIAL EQUATION OF DETERMINANTAL TYPE

Published online by Cambridge University Press:  01 July 1999

H. W. BRADEN  and
J. G. B. BYATT-SMITH
H. W. BRADEN
Affiliation:
Department of Mathematics and Statistics, The University of Edinburgh, Edinburgh EH9 3JZ
J. G. B. BYATT-SMITH
Affiliation:
Department of Mathematics and Statistics, The University of Edinburgh, Edinburgh EH9 3JZ
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Abstract

We solve the functional equations

formula here

for suitable functions f, g and h subject to x + y + z = 0. These equations essentially characterise the Weierstrass [pscr ]-function and its degenerations.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 31 , Issue 4 , July 1999 , pp. 463 - 470
Copyright
© The London Mathematical Society 1999

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