MATHEMATICA BOHEMICA, Vol. 126, No. 1, pp. 141-149 (2001)
Some sums of legendre and Jacobi polynomials
Jan Gustavsson
Jan Gustavsson, Centre for Mathematical Sciences, Lund Institute of Technology, Mathematics, Box 118, SE-221 00 Lund, Sweden, e-mail: jang@maths.lth.se
Abstract:
We prove identities involving sums of Legendre and Jacobi polynomials. The identities are related to Green's functions for powers of the invariant Laplacian and to the Minakshisundaram-Pleijel zeta function.
Keywords: Legendre polynomials, Jacobi polynomials, polylogarithms
Classification (MSC2000): 33C45, 33E30, 35C05, 34B27
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