Pages from the computer files of R. William Gosper

Ismail, Mourad E. H.; Takeuchi, Yu; Zhang, Ruiming

doi:10.1090/S0002-9939-1993-1179588-8

Pages from the computer files of R. William Gosper
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by Mourad E. H. Ismail, Yu Takeuchi and Ruiming Zhang PDF

Proc. Amer. Math. Soc. 119 (1993), 747-760 Request permission

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.

References

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Material from Bill Gosper’s computers & mathematics talk

R. William Gosper, Mourad E. H. Ismail, and Ruiming Zhang, On some strange summation formulas, Illinois J. Math. 37 (1993), no. 2, 240–277. MR 1208821
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