Hostname: page-component-7b7567c8c-2n9c9 Total loading time: 0 Render date: 2026-11-15T03:55:23.813Z Has data issue: false hasContentIssue false
  • English
  • Français

A formula of Bateman

Published online by Cambridge University Press:  18 May 2009

L. Carlitz
L. Carlitz
Affiliation:
Duke 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 formula

was stated by Bateman ([2], p. 457); a proof is sketched in [3], p. 144. Here

the Laguerre polynomial of degree

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 3 , Issue 2 , June 1957, pp. 99 - 101
Copyright
Copyright © Glasgow Mathematical Journal Trust 1957

References

REFERENCES

1.Bailey, W. N., On the product of two Legendre polynomials with difierent arguments, Proc. Lond. Math. Soc., 41 (1936), 215–220.Google Scholar
2.Bateman, H., Partial differential eqtiations of mathematical physics, Cambridge, 1932.Google Scholar
3.Buchholz, H., Die konfluente hypergeometrische Funktion, Berlin-Gottingen-Heidelberg, 1953.CrossRefGoogle Scholar