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Integrals involving classical polynomials

Published online by Cambridge University Press:  24 October 2008

G. K. Dhawan
G. K. Dhawan
Affiliation:
Department of Mathematics, Maulana Azad College of Technology, Bhopal (M.P.), India
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Extract

1. Introduction. In a recent paper the author (2) has derived a number of integrals with the help of results ((5), p. 343)

where α, β, α′, β′ are parameters such that

and

whereK has the same meaning as above.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 3 , May 1970 , pp. 607 - 611
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

(1)Carlitz, L.Some integrals containing products of Laguerre polynomials. Arch. Math. (Basel) 12 (1961).CrossRefGoogle Scholar
(2)Dhawan, G. K.Some integrals involving classical polynomials. Proc. Cambridge Philos. Soc. 64 (1968).CrossRefGoogle Scholar
(3)Rainville, E. D.Special Functions (McGraw Hill, 1965).Google Scholar
(4)Singh, R. P. and Srivastava, K. N.A note on generalization of Laguerre and Humbert polynomials. ‘Ricerca’ (Napoli) (2), 14 (1963).Google Scholar
(5)Williamson, B. An elementary treatise on integral calculus (1955).Google Scholar