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Bilateral generating functions involving Jacobi polynomials

Published online by Cambridge University Press:  24 October 2008

H. L. Manocha
H. L. Manocha
Affiliation:
Department of Mathematics, I.I.T., Delhi, India
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Extract

In paper(1) it has been proved that

where the Jacobi polynomial is denned as ((3), p. 255)

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 1 , July 1969 , pp. 105 - 107
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Manocha, H. L. and Sharma, B. L.Some formulae for Jacobi polynomials. Proc. Cambridge Philos. Soc. 62 (1966), 459–462.CrossRefGoogle Scholar
(2)Lauricella, G.Sulle Funzioni ipergeometriche a pui variabili. Rend. Circ. Mat. Palermo. 7 (1893).CrossRefGoogle Scholar
(3)Rainville, E. D.Special functions (New York, 1960).Google Scholar
(4)Saran, S.Hypergeometric functions of three variables. Ganita 5 (1954), 77–91.Google Scholar