Some sums of Legendre and Jacobi polynomials
Mathematica Bohemica, Tome 126 (2001) no. 1, pp. 141-149
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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.
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.
DOI :
10.21136/MB.2001.133910
Classification :
33C05, 33C45, 33E30, 34B27, 35C05
Keywords: Legendre polynomials; Jacobi polynomials; polylogarithms
Keywords: Legendre polynomials; Jacobi polynomials; polylogarithms
Gustavsson, Jan. Some sums of Legendre and Jacobi polynomials. Mathematica Bohemica, Tome 126 (2001) no. 1, pp. 141-149. doi: 10.21136/MB.2001.133910
@article{10_21136_MB_2001_133910,
author = {Gustavsson, Jan},
title = {Some sums of {Legendre} and {Jacobi} polynomials},
journal = {Mathematica Bohemica},
pages = {141--149},
year = {2001},
volume = {126},
number = {1},
doi = {10.21136/MB.2001.133910},
mrnumber = {1826477},
zbl = {0980.33006},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.133910/}
}
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[3] Y. L. Luke: The Special Functions and Their Approximation. Volume I. Academic Press, New York, London, 1969. | MR
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