ON THE MODIFIED CONVERGENCE OF SOME CONTINUED FRACTIONS OF ROGERS-RAMANUJAN TYPE

Authors
ALLADI K
Citation
K. Alladi, ON THE MODIFIED CONVERGENCE OF SOME CONTINUED FRACTIONS OF ROGERS-RAMANUJAN TYPE, J COMB TH A, 65(2), 1994, pp. 214-245
Citations number
15
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
JOURNAL OF COMBINATORIAL THEORY SERIES A
ISSN journal
00973165 → ACNP
Volume
65
Issue
2
Year of publication
1994
Pages
214 - 245
Database
ISI
SICI code
0097-3165(1994)65:2<214:OTMCOS>2.0.ZU;2-C
Abstract
In this paper, the modified convergence of three Rogers-Ramanujan type continued fractions is established. These results are companions to w ell-known continued fraction identities of Rogers and Ramanujan and of Gordon. In the course of proving these modified convergence results, a simple and unified treatment of many partition identities of Rogers- Ramanujan type is proved using two q-series transformations. (C) 1994 Academic Press, Inc.