PEARCE BAILEY, M.D.

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...

Authors' reply to Pearce.

Wewelcome Steve Pearce’s news that a randomised controlled trial of therapeutic communities in the treatment of personality disorder is under way and look forward to hearing the results. 2 We acknowledge that therapeutic communities in the UK are now almost all day programmes, and we perhaps should have more accurately cited the most recent National Institute for Health and Care Excellence (NIC...

Dr. John Lindesay Pearce

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.

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...