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Abstract: Gosper's summation algorithm finds a hypergeometric closed form of an indefinite sum of hypergeometric terms, if such a closed form exists. We extend his algorithm to the case when the terms are simultaneously hypergeometric and multibasic hypergeometric. We also provide algorithms for finding polynomial as well as hypergeometric solutions of recurrences in the mixed case. We do not require the bases to be transcendental, but only that q m 6= 1 unless k1 = \Delta \Delta \Delta = km = 0.... (Update)
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BibTeX entry: (Update)
@article{ bauer99multibasic,
author = "Andrej Bauer and Marko Petkov{\v{s}}ek",
title = "Multibasic and Mixed Hypergeometric {Gosper}-Type Algorithms",
journal = "Journal of Symbolic Computation",
volume = "28",
number = "4--5",
month = "/",
pages = "711--736",
year = "1999",
url = "citeseer.ist.psu.edu/602269.html" }
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