PAGES FROM THE COMPUTER FILES OF GOSPER,R.,WILLIAM

Citation
Meh. Ismail et al., PAGES FROM THE COMPUTER FILES OF GOSPER,R.,WILLIAM, Proceedings of the American Mathematical Society, 119(3), 1993, pp. 747-760
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
00029939
Volume
119
Issue
3
Year of publication
1993
Pages
747 - 760
Database
ISI
SICI code
0002-9939(1993)119:3<747:PFTCFO>2.0.ZU;2-Q
Abstract
We give proofs of summation theorems and continued fraction evaluation s conjectured by R. W. Gosper. We also give two new elementary proofs of a theorem of Gosper whose original proof uses matrix methods. One p roof uses iteration of two term recurrence relation. The latter proof is also used to give elementary proofs of three other identities due t o Gosper.