| Title:
|
Some sums of Legendre and Jacobi polynomials (English) |
| Author:
|
Gustavsson, Jan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
126 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
141-149 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Legendre polynomials |
| Keyword:
|
Jacobi polynomials |
| Keyword:
|
polylogarithms |
| MSC:
|
33C05 |
| MSC:
|
33C45 |
| MSC:
|
33E30 |
| MSC:
|
34B27 |
| MSC:
|
35C05 |
| idZBL:
|
Zbl 0980.33006 |
| idMR:
|
MR1826477 |
| DOI:
|
10.21136/MB.2001.133910 |
| . |
| Date available:
|
2009-09-24T21:48:15Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133910 |
| . |
| Reference:
|
[1] M. Engliš, J. Peetre: Green’s functions for powers of the invariant Laplacian.Canad J. Math. 50 (1998), 40–73. MR 1618718, 10.4153/CJM-1998-004-8 |
| Reference:
|
[2] L. Lewin: Structural Properties of Polylogarithms.Math. Surveys Monographs 37, American Mathematical Society, Providence, RI, 1991. Zbl 0745.33009, MR 1148371 |
| Reference:
|
[3] Y. L. Luke: The Special Functions and Their Approximation. Volume I.Academic Press, New York, London, 1969. MR 0241700 |
| . |
