Some reduction formulas for multiple hypergeometric series

H. M. Srivastava; M. A. Pathan-Yasmeen

Rendiconti del Seminario Matematico della Università di Padova (1989)

  • Volume: 82, page 1-7
  • ISSN: 0041-8994

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Srivastava, H. M., and Pathan-Yasmeen, M. A.. "Some reduction formulas for multiple hypergeometric series." Rendiconti del Seminario Matematico della Università di Padova 82 (1989): 1-7. <http://eudml.org/doc/108159>.

@article{Srivastava1989,
author = {Srivastava, H. M., Pathan-Yasmeen, M. A.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {1-7},
publisher = {Seminario Matematico of the University of Padua},
title = {Some reduction formulas for multiple hypergeometric series},
url = {http://eudml.org/doc/108159},
volume = {82},
year = {1989},
}

TY - JOUR
AU - Srivastava, H. M.
AU - Pathan-Yasmeen, M. A.
TI - Some reduction formulas for multiple hypergeometric series
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1989
PB - Seminario Matematico of the University of Padua
VL - 82
SP - 1
EP - 7
LA - eng
UR - http://eudml.org/doc/108159
ER -

References

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  1. [1] P. Appell - J. KAMPÉ DE FÉRIET, Fonctions Hypergéométriques et Hypersphériques; Polynômes d'Hermite, Gauthier-Villars, Paris (1926). Zbl52.0361.13JFM52.0361.13
  2. [2] R. Askey, Jacobi's generating function for Jacobi polynomials, Proc. Amer. Math. Soc., 71 (1978), pp. 243-246. Zbl0393.33010MR486693
  3. [3] W.N. Bailey, Some infinite integrals involving Bessel functions, Proc. London Math. Soc. (2), 40 (1936), pp. 37-48. Zbl0012.21005JFM61.0398.01
  4. [4] L. Carlitz, The generating function for the Jacobi polynomial, Rend. Sem. Mat. Univ. Padova, 38 (1967), pp. 86-88. Zbl0163.08201MR222357
  5. [5] T.W. Chaundy, An extension of hypergeometric functions (I), Quart. J. Math. Oxford Ser., 14 (1943), pp. 55-78. Zbl0063.00808MR10749
  6. [6] M.E. Cohen, Generating functions for the Jacobi polynomial, Proc. Amer. Math. Soc., 57 (1976), pp. 271-275. Zbl0303.33007MR404725
  7. [7] K.S. Khichi, A note on Srivastava's triple hypergeometric function HB, Ganita, 19, no. 1 (1968), pp. 21-24. Zbl0259.33004MR296362
  8. [8] E.D. Rainville, Special Functions, Macmillan, New York (1960). Zbl0092.06503MR107725
  9. [9] H.M. Srivastava, A note on Jacobi's generating function for the Jacobi polynomials, Proc. Japan Acad. Ser. A Math. Sci., 61 (1985), pp. 201-202. Zbl0555.33002MR816711
  10. [10] H.M. Srivastava - P.W. Karlsson, Multiple Gaussian Hypergeometric Series, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York (1985). Zbl0552.33001MR834385
  11. [11] H.M. Srivastava - H. L. MANOCHA, A Treatise on Generating Functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York (1984). Zbl0535.33001MR750112
  12. [12] H.M. Srivastava - J.P. Singhal, New generating functions for Jacobi and related polynomials, J. Math. Anal. Appl., 41 (1973), pp. 748-752. Zbl0218.33006MR326028

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