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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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