On Jacobi polynomials
Published online by Cambridge University Press: 24 October 2008
Extract
1. The object of this paper is to prove some formulae of Jacobi polynomials including a generating function. The results (2·l)–(2·4), (2·6)–(2·9), (3·l)–(3·4), and (4·1) are believed to be new.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 3 , May 1969 , pp. 691 - 695
- Copyright
- Copyright © Cambridge Philosophical Society 1969
References
REFERENCES
(2)Bbomwich, T. J. I'a.Introduction to the theory of infinite series, 2nd ed. (London: Macmillan and Co., 1959.)Google Scholar
(3)Ebdélyi, A. et al. Higher transcendental junctions, vol. I (New York: McGraw-Hill, 1953).Google Scholar
(4)Ebdélyi, A. et al. Higher transcendental functions, vol. II (New York: McGraw-Hill, 1953).Google Scholar
(5)Feldheim, E.Relations entre les polynomes de Jacobi, Laguerre et Hermite. Acta Math. 74 (1941), 117–138.Google Scholar
(6)Manooha, H. L. and Shabma, B. L.Summation of infinite series. J. Austral. Math. Soc. 6 (1966), 470–476.CrossRefGoogle Scholar
(7)Manocha, H. L. and Shabma, B. L.Some formulae for Jacobi polynomials. Proc. Cambridge Philos. Soc. 62 (1966), 459–462.Google Scholar
- 4
- Cited by