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Generating functions of Jacobi polynomials

Published online by Cambridge University Press:  24 October 2008

H. L. Manocha  and
B. L. Sharma
H. L. Manocha
Affiliation:
Department of Applied Sciences, Pb. Engineering College, Chandigarh, India
B. L. Sharma
Affiliation:
Department of Applied Sciences, Pb. Engineering College, Chandigarh, India
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Extract

In this paper we obtain generating functions of Jacobi polynomials. The results obtained are of general character and include as particular cases of the results given earlier by Bailey ((1), p. 102, Ex. 19) and Brafman (2).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 2 , April 1967 , pp. 431 - 433
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

REFERENCES

(1)Bailey, W. N.Generalized hypergeometric series (Cambridge 1935).Google Scholar
(2)Brafman, F.Generating functions of Jacobi and related polynomials. Proc. Amer. Math. Soc. 2 (1951), 942–949.CrossRefGoogle Scholar
(3)Rainville, E. D.Special functions (Macmillan, New York, 1960).Google Scholar
(4)Sharma, B. L.Integrals involving hypergeometric functions of two variables. Proc. Nat. Acad. Sci. India Sect. A (in the Press).Google Scholar