The Bailey: Manly Spelling Book. Eliza R. Bailey , John M. Manly

Lifting Bailey pairs to WP-Bailey pairs

A pair of sequences (αn(a, k, q),βn(a, k, q)) such that α0(a, k, q) = 1 and βn(a, k, q) = n ∑ j=0 (k/a; q)n−j(k; q)n+j (q; q)n−j(aq; q)n+j αj(a, k, q) is termed a WP-Bailey Pair. Upon setting k = 0 in such a pair we obtain a Bailey pair. In the present paper we consider the problem of “lifting” a Bailey pair to a WPBailey pair, and use some of the new WP-Bailey pairs found in this way to derive...

Shifted versions of the Bailey and well-poised Bailey lemmas

The Bailey lemma is a famous tool to prove Rogers-Ramanujan type identities. We use shifted versions of the Bailey lemma to derive mversions of multisum Rogers-Ramanujan type identities. We also apply this method to the Well-Poised Bailey lemma and obtain a new extension of the Rogers-Ramanujan identities.

The Manly Art of Observation and Deduction

The Wp – Bailey

Abstract. Our object is a thorough analysis of the WP-Bailey tree, a recent extension of classical Bailey chains. We begin by observing how the WP–Bailey tree naturally entails a finite number of classical q-hypergeometric transformation formulas. We then show how to move beyond this closed set of results and in the process we explicate heretofore mysterious identities of D. Bressoud. Next, we ...

Alphabetically ) : BAILEY - KELLOGG , CHRIS

Meeting Date: 10/13/2016 RFA/PA: PA16-302 Council: JAN 2017 PCC: M34 Requested Start: 07/01/2017 Dual PCC: P146SS Dual IC(s): GM Project Title: High-throughput, multiplexed characterization and modeling of antibody:antigen binding, with application to HSV SRG Action: Impact Score:18 Next Steps: Visit http://grants.nih.gov/grants/next_steps.htm Human Subjects: 10-No human subjects involved Anima...