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Pages from the computer files of R. William Gosper

Authors: Mourad E. H. Ismail, Yu Takeuchi and Ruiming Zhang
Journal: Proc. Amer. Math. Soc. 119 (1993), 747-760
MSC: Primary 33B10; Secondary 33D15, 40A15
MathSciNet review: 1179588
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Abstract: We give proofs of summation theorems and continued fraction evaluations conjectured by R. W. Gosper. We also give two new elementary proofs of a theorem of Gosper whose original proof uses matrix methods. One proof uses iteration of two term recurrence relation. The latter proof is also used to give elementary proofs of three other identities due to Gosper.

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Article copyright: © Copyright 1993 American Mathematical Society

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