Document Type
Article
Publication Date
2010
Abstract
We derive two general transformations for certain basic hypergeometric series from the recurrence formulae for the partial numerators and denominators of two q-continued fractions previously investigated by the authors. By then specializing certain free parameters in these transformations, and employing various identities of Rogers-Ramanujan type, we derive m-versions of these identities. Some of the identities thus found are new, and some have been derived previously by other authors, using different methods. By applying certain transformations due to Watson, Heine and Ramanujan, we derive still more examples of such m-versions of Rogers Ramanujan-type identities.
Publication Title
The Ramanujan Journal
ISSN
1382-4090
Publisher
Springer
Volume
25
Issue
2
First Page
203
Last Page
227
Recommended Citation
Bowman, D., McLaughlin, J., & Wyshinksi, N. (2010). Continued Fraction Proofs of m-versions of Some Identities of Rogers-Ramanujan-Slater Type. The Ramanujan Journal, 25(2), 203-227. Retrieved from https://digitalcommons.wcupa.edu/math_facpub/47
Comments
Preprint version is available here.