24 citations · 188 across the 39 of their papers we have counts for
39 papers
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…
Some Observations on Lambert series, vanishing coefficients and dissections of infinite products and series
James Mc Laughlin
Andrews and Bressoud, Alladi and Gordon, and others, have proven, in a number of papers, that the coefficients in various arithmetic progressions in the series expansions of certai…
Rogers-Ramanujan-Slater Type Identities
James Mc Laughlin, Andrew V. Sills, Peter Zimmer
In this survey article, we present an expanded version of Lucy Slater's famous list of identities of the Rogers-Ramanujan type, including identities of similar type, which were dis…
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…
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…