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Some bilinear generating functions for Jacobi polynomials

Published online by Cambridge University Press:  24 October 2008

H. L. Manocha
H. L. Manocha
Affiliation:
Panjab Engineering College, Chandigarh, India
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Extract

In a previous paper (3) the writer has proved

where is a Jacobi polynomial defined as ((4) p.255)

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 2 , April 1967 , pp. 457 - 459
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

REFERENCES

(1)Erdelyi, A.Higher transcendental functions, vol. I (1953).Google Scholar
(2)Lauricella, G.Suelle Funzioni ipergeometriche a pui variabili. Rendiconti, Mat. Palermo, T. VII (1893).Google Scholar
(3)Manocha, H. L. and Sharma, B. L.Some formulae for Jacobi polynomials. Proc. Cambridge Philos. Soc. (1966), 63.Google Scholar
(4)Rainville, E. D.Special functions (New York, 1960).Google Scholar