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Bilinear and trilinear generating functions for Jacobi polynomials

Published online by Cambridge University Press:  24 October 2008

H. L. Manocha
H. L. Manocha
Affiliation:
Punjab Engineering College, Department of Applied Sciences, Chandigarh, India
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Extract

The writer in his paper (4) has shown that

where the Jacobi polynomial is defined as ((5), p. 255)

.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 3 , July 1968 , pp. 687 - 690
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

(1)Chaundy, T. W.Expansions of hypergeometrie functions. Quart. J. Math. Oxford Ser. 13 (1942), 159–171.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. 63 (1967), 431–433.CrossRefGoogle Scholar
(4)Manocha, H. L.Some bilinear generating functions for Jacobi polynomials. Proc. Cambridge Philos. Soc. 63 (1967), 457–459.CrossRefGoogle Scholar
(5)Rainville, E. D.Special functions (New York, 1960).Google Scholar