A TRANSFORMATION FORMULA ASSOCIATED WITH THE GENERALIZED HYPERGEOMETRIC SERIES

  • Lee, Keumsik (Department of Mathematics, College of Natural Sciences, Pusan National University) ;
  • Cho, Young-Joon (Department of Mathematics, College of Natural Sciences, Pusan National University) ;
  • Seo, Tae-Young (Department of Mathematics, College of Natural Sciences, Pusan National University)
  • Published : 2000.10.01

Abstract

The authors aim at presenting a presumably new transformation formula involving generalized hypergeometric series by making use of series rearrangement technique which is one of the most effective methods for obtaining generating functions or other identities associated with (especially) the hypergeometric series. They also consider a couple of interesting special cases of their main result.

Keywords

References

  1. Fonctions hypergeometriques et Hyperspheriques Polynomes K'Hermite P. Appill et J. Kampe de Feriet
  2. Comm. Korean Math. Soc. v.14 An identity involing the generalized hypergeometric series Y. J. Cho
  3. Pusan-Kyongnam Math. J. v.11 Formal manipulations of double series and their applications J. Choi;T. Y. Seo
  4. C. R. Acad. Sci. Paris v.173 Les fonctions hypergeometriques d'ordre superieur a deux variables J. Kampe
  5. Special Functions E. D. Rainville
  6. A Treatise on Generating Functions H. M. Srivastave;H. L Manocha
  7. J. London Math. Soc. v.12 no.2 An integral representation for the product of two Jacobi polynomials H. M. Srivastava;R. Panda
  8. Proc. London Math. Soc. v.26 Some transformations of generalized hyperheometric series F. J. W. Whipple