Honam Mathematical Journal (호남수학학술지)

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DECOMPOSITION FORMULAS FOR THE GENERALIZID HYPERGEOMETRIC 4F3 FUNCTION

  • Received : 2009.10.07
  • Accepted : 2009.12.16
  • Published : 2010.03.25
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Abstract

By using the generalized operator method given by Burchnall and Chaundy in 1940, the authors present one-dimensional inverse pairs of symbolic operators. Many operator identities involving these pairs of symbolic operators are rst constructed. By means of these operator identities, 11 decomposition formulas for the generalized hypergeometric $_4F_3$ function are then given. Furthermore, the integral representations associated with generalized hypergeometric functions are also presented.

Keywords

References

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  1. DECOMPOSITION FORMULAE FOR GENERALIZED HYPERGEOMETRIC FUNCTIONS WITH THE GAUSS-KUMMER IDENTITY vol.29, pp.1, 2014, https://doi.org/10.4134/CKMS.2014.29.1.097