Hypergeometric Summation by Wolfram Koepf

Author:Wolfram Koepf
Language: eng
Format: epub
Publisher: Springer London, London

2.Set .

3.Set with undetermined variables depending on , but not depending on .

4.Apply the adaptation of Gosper’s algorithm described to : In the last step, solve the linear system for the coefficients of , and at the same time for the unknowns . If the procedure is successful, Gosper’s algorithm finds with

Be aware of possible nonnegative integer denominator zeros, with respect to , of the rational certificate

where the resulting recurrence equation might not be valid. The calculation also determines the functions . If the procedure is not successful then increase by one and continue with step 3.

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