209 citations
- University of PennsylvaniaUS11 papers
- Goddard Space Flight CenterUS9 papers
- Princeton UniversityUS9 papers
- Rutgers, The State University of New JerseyUS8 papers
- University of California, BerkeleyUS8 papers
- University of KwaZulu-NatalZA8 papers
- Cornell UniversityUS7 papers
- Haverford CollegeUS7 papers
- University of PittsburghUS7 papers
- Arizona State UniversityUS6 papers
- Pennsylvania State UniversityUS6 papers
- Pontificia Universidad Católica de ChileCL6 papers
19 papers · 1 filter
Mock Theta Function Identities Deriving from Bilateral Basic Hypergeometric Series
James Mc Laughlin
The bilateral series corresponding to many of the third-, fifth-, sixth- and eighth order mock theta functions may be derived as special cases of series \[ \sum_{n=-\infty}…
Applications of the Heine and Bauer-Muir transformations to Rogers-Ramanujan type continued fractions
Jongsil Lee, James Mc Laughlin, Jaebum Sohn
In this paper we show that various continued fractions for the quotient of general Ramanujan functions may be derived from each other via Bauer-Muir transform…
On a pair of identities from Ramanujan's lost notebook
James Mc Laughlin, Andrew V. Sills
Using a pair of two variable series-product identities recorded by Ramanujan in the lost notebook as inspiration, we find some new identities of similar type. Each identity immedia…
Further Results on Vanishing Coefficients in Infinite Product Expansions
James Mc Laughlin
We extend results of Andrews and Bressoud on the vanishing of coefficients in the series expansions of certain infinite products. These results have the form that if \begin{equatio…
A Reciprocity Relation for WP-Bailey Pairs
James Mc Laughlin, Peter Zimmer
We derive a new general transformation for WP-Bailey pairs by considering the a certain limiting case of a WP-Bailey chain previously found by the authors, and examine several cons…
Refinements of Some Partition Inequalities
James Mc Laughlin
In the present paper we initiate the study of a certain kind of partition inequality, by showing, for example, that if is an integer and the integers and are rela…