Some formulae Involving Jacobi Polynomials

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Authors

  • P. C. Munot
     University of Jodhpur, Jodhpur ,IN
  • R. K. Saxena
     University of Jodhpur, Jodhpur ,IN

Abstract

The object of the present paper is to establish certain finite summation formulae for the Lauricella's hypergeometric function FA and to derive some generating functions for the Jacobi polynomials by specializing the parameters in FA. Most of the results obtained are believed to be new.

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Published

1972-12-01

How to Cite

Munot, P. C., & Saxena, R. K. (1972). Some formulae Involving Jacobi Polynomials. The Journal of the Indian Mathematical Society, 36(3-4), 243–253. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/16667

Issue

Volume 36, Issue 3-4, September-December 1972

Section

Articles

License

Copyright (c) 1972 P. C. Munot, R. K. Saxena

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

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A. ERDELYI et al.: Tables of integral transforms, Vol. I, McGraw-Hill, New York, (1954).

R. N. JAIN: The confluent hypergeometric function of three variables, Proc. Nat. Acad. Sci., India, 36 (1966), 395-408.

E. FELDHEIM: Relations entre les polynomes de Jacobi, Laguerre et Hermite, Acta Math. Vol. 74 (1941), 117-138.

H. L. MANOCHA and B. L. SHARMA: Summation of infinite series, Jour. Austral. Math. Soc., 6(1966), 476.

P. C. MXTNOT: On Jacobi polynomials, Proc. Cambridge Phil. Soc, 65 (1966), 691-695.

E. D. RAINVILLE: Special functions, Macmillan, New York, (1963).

L. J. SLATER: Confluent hypergeometric functions, Cambrige Univ. Press, (I960).

L. J. SLATER: Generalized hypergeometric functions, Cambridge Univ. Press, (1966).