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Some new generating functions for Jacobi polynomials

Published online by Cambridge University Press:  24 October 2008

B. L. Sharma  and
K. C. Mittal
B. L. Sharma
Affiliation:
Department of Mathematics, Regional Centre, Simla, 3 (India)
K. C. Mittal
Affiliation:
Department of Mathematics, Regional Centre, Simla, 3 (India)
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Extract

The object of this paper is to obtain some new generating functions for Jacobi polynomials. The results obtained, are of general character.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 3 , July 1968 , pp. 691 - 694
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

(1)Erdélyi, A.Higher transcendental functions, vol. i (1953).Google Scholar
(2)Manocha, H. L.Some bilinear generating functions for Jacobi polynomials. Proc. Cambridge Philos. Soc. 63 (1967), 457–459.CrossRefGoogle Scholar
(3)Manocha, H. L. and Sharma, B. L.Infinite series of hypergeometric functions. Ann. Soc. Sci. Bruxelles Sér. i (1966), 73–86.Google Scholar
(4)Manocha, H. L. and Sharma, B. L.Some formulae for Jacobi polynomials. Proc. Cambridge Philos. Soc. 62 (1966), 459–462.CrossRefGoogle Scholar
(5)Rainville, E. D.Special junctions (1965).Google Scholar
(6)Saran, S.Hypergeometric functions of three variables. Ganita, (1954), 5, 83–90.Google Scholar
(7)Sharma, B. L.A new generating function for Jacobi Polynomials. Proc. Cambridge Philos. Soc. 63 (1967), 1041–1043.CrossRefGoogle Scholar