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On integrals involving classical polynomials

Published online by Cambridge University Press:  24 October 2008

G. K. Dhawan
G. K. Dhawan
Affiliation:
Maulana Azad College of Technology, Bhopal, India
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Extract

We know ((6), p. 343) that

and

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

Consider

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 2 , April 1968 , pp. 417 - 420
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

(1)Edwards, J.A treatise on integral calculus, vol. 2 (New York, 1922).Google Scholar
(2)Rainville, E. D.Special functions (New York, 1962).Google Scholar
(3)Singh, R. P.Some integrals involving the products of orthogonal polynomials and their derivatives. Proc. Nat. Acad. Sci. India, Part A, 34 (1964).Google Scholar
(4)Singh, R. P.Some polynomials related to generalized Laguerre polynomials. Proc. Nat. Acad. Sci. India, Part A, 34 (1964).Google Scholar
(5)Singh, R. P. and Srivastava, K. N.A note on generalization of Laguerre and Humbert polynomials. Ricerca (Napoli) (2), 14 (1963)Google Scholar
settembre-diecembre, 11–21, errata Singh, R. P. and Srivastava, K. N.A note on generalization of Laguerre and Humbert polynomials. Ricerca (Napoli) (2), 15 (1964), maggio-angusto, 63.Google Scholar
(6)Williamson, B.An elementary treatise on integral calculus (1955).Google Scholar