Some sums of Legendre and Jacobi polynomials

Jan Gustavsson

Mathematica Bohemica (2001)

  • Volume: 126, Issue: 1, page 141-149
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Gustavsson, Jan. "Some sums of Legendre and Jacobi polynomials." Mathematica Bohemica 126.1 (2001): 141-149. <http://eudml.org/doc/248857>.

@article{Gustavsson2001,
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.},
author = {Gustavsson, Jan},
journal = {Mathematica Bohemica},
keywords = {Legendre polynomials; Jacobi polynomials; polylogarithms; Legendre polynomials; Jacobi polynomials; polylogarithms},
language = {eng},
number = {1},
pages = {141-149},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some sums of Legendre and Jacobi polynomials},
url = {http://eudml.org/doc/248857},
volume = {126},
year = {2001},
}

TY - JOUR
AU - Gustavsson, Jan
TI - Some sums of Legendre and Jacobi polynomials
JO - Mathematica Bohemica
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 126
IS - 1
SP - 141
EP - 149
AB - 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.
LA - eng
KW - Legendre polynomials; Jacobi polynomials; polylogarithms; Legendre polynomials; Jacobi polynomials; polylogarithms
UR - http://eudml.org/doc/248857
ER -

References

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  1. Green’s functions for powers of the invariant Laplacian, Canad J. Math. 50 (1998), 40–73. (1998) MR1618718
  2. Structural Properties of Polylogarithms, Math. Surveys Monographs 37, American Mathematical Society, Providence, RI, 1991. (1991) Zbl0745.33009MR1148371
  3. The Special Functions and Their Approximation. Volume I, Academic Press, New York, London, 1969. (1969) MR0241700

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