Transformation formulas for terminating Saalschützian hypergeometric series of unit argument
Received01 Jul 1994
Revised01 Nov 1994
Transformation formulas for terminating Saalschützian hypergeometric series of unit argument are presented. They generalize the Saalschützian summation formula for . Formulas for are obtained explicitly, and a recurrence relation is proved by means of which the corresponding formulas can also be derived for larger . The Gaussian summation formula can be derived from the Saalschützian formula by a limiting process, and the same is true for the corresponding generalized formulas. By comparison with generalized Gaussian summation formulas obtained earlier in a different way, two identities for finite sums involving terminating series are found. They depend on four or six independent parameters, respectively.
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