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

DOI:
https://doi.org/10.1090/S0002-9939-1993-1179588-8

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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DOI:
https://doi.org/10.1090/S0002-9939-1993-1179588-8

Article copyright:
© Copyright 1993
American Mathematical Society