Some sums of Legendre and Jacobi polynomials
Mathematica Bohemica (2001)
- Volume: 126, Issue: 1, page 141-149
- ISSN: 0862-7959
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topGustavsson, 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
top- 10.4153/CJM-1998-004-8, Canad J. Math. 50 (1998), 40–73. (1998) MR1618718DOI10.4153/CJM-1998-004-8
- Structural Properties of Polylogarithms, Math. Surveys Monographs 37, American Mathematical Society, Providence, RI, 1991. (1991) Zbl0745.33009MR1148371
- The Special Functions and Their Approximation. Volume I, Academic Press, New York, London, 1969. (1969) MR0241700
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