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A formula of Bateman

Published online by Cambridge University Press:  18 May 2009

L. Carlitz
L. Carlitz
Affiliation:
Duke University
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The formula

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

the Laguerre polynomial of degree

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