报告题目：Rogers-Ramanujan type identities: Extensions, continued
fractions, Engel expansions
报告时间：2011年6月29日星期三 上午10:00-11:00
报告地点：闵行数学楼102
报 告 人： Helmut Prodinger
Department of Mathematics, Stellenbosch University

摘要：

Lucy Slater collected a list of over 100 identities that resemble the
famous Rogers-Ramanujan identities.
Garrett, Ismail and Stanton combined the Rogers-Ramanujan identities
into a one parameter family of identities.
Using finite versions due to (mostly) Drew Sills, this can also be
achieved for many other pairs and triplets from
Slater's list.
The quotient of the Rogers-Ramanujan identities has a nice continued
fraction expansion. Many other ones
from Slater's list as well, and many of them are new.

These results where obtained together with Nancy Gu.

Engel expansions for Rogers-Ramanujan identities where introduced by
John Knopfmacher and later studied
by Andrews et al. We report how Sills' finitizations can be used to
create many other (pseudo) Engel expansions for
other expansions appearing in Slater's list.