solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看15854次
Continued Fraction Proofs of $m$-versions of Some Identities of Rogers-Ramanujan-Slater Type. (arXiv:1901.05888v1 [math.NT])
来源于:arXiv
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 \emph{$m$-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. 查看全文>>