A note on the associated Legendre polynomials
- 1 January 1964
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Glasgow Mathematical Association
- Vol. 6 (3) , 156-160
- https://doi.org/10.1017/s2040618500034924
Abstract
This paper is paper gives what appears to be a new Rodrigues’ formula for the Associated Legendre Polynomials defined by [5, p. 122]with the restriction that m is an even positive integer, which helps to evaluate some integrals. Putting m = 2k in (1.1) and replacing Pn(x) by the Gegenbauer Polynomial and using [3, p. 176]We obtainPutting a =v–½ in the relation [4, p. 283]We getKeywords
This publication has 1 reference indexed in Scilit:
- Об одном применении полиномов ЛежандраUkrainian Mathematical Journal, 1960