ISSN 2385-2275 No. 6 - December 2014
The Heat Kernel on Homogeneous Trees and the Hypergeometric Function
HACEN DIB
Université de Tlemcen, Départment de Mathématiques, Tlemcen, Algerie
MAURO PAGLIACCI
University of Perugia, Department of Economics, Perugia, Italy Questo indirizzo email è protetto dagli spambots. È necessario abilitare JavaScript per vederlo.
Abstract:
The combinatorial coefficients in the explicit solution of the heat equation on homogeneous trees are expressed by a hypergeometric function.
A.M.S. Mathematics Subject Classification (1991): Primary 60J60, 05C05, 33C20
Keywords: Homogeneous trees, transition probabilities, heat semigroup, hypergeometric functions
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