Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-24T13:45:26.520Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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