Hostname: page-component-7dd5485656-frp75 Total loading time: 0 Render date: 2025-10-29T15:54:59.966Z Has data issue: false hasContentIssue false
  • English
  • Français

A Generating Function for Jacobi Polynomials

Published online by Cambridge University Press:  20 November 2018

R. K. Saxena
R. K. Saxena*
Affiliation:
McGill University
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The following notations will be employed throughout this note.

The object of the present note is to obtain a new generating function for the Jacobi polynomials defined by [4, page 268]

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 9 , Issue 2 , June 1966 , pp. 209 - 213
Copyright
Copyright © Canadian Mathematical Society 1966

References

1. Bromwich, T.J.I. 'A., Introduction to the theory of infinite series, London, Macmillan and Co. (1959).Google Scholar
2. Bailey, W.N., Some infinite integrals involving Bessel functions, Proc. London Math. Soc. 40(1936), 37-48.Google Scholar
3. Exdelyi, A., et al. Higher transcendental functions, vol.1, McGraw-Hill, New York (1953).Google Scholar
4. Erdelyi, A. et al., Tables of integral transforms, vol. 2, McGraw-Hill, New York (1954).Google Scholar
5. Watson, G.N., Theory of Bessel functions. Cambridge, (1944).Google Scholar