Add to ORKGAbstract. We derive several new transformations relating WP-Bailey pairs. We also consider the corresponding relations relating standard Bailey pairs, and as a consequence, derive some quite general expansions for products of theta functions which can also be expressed as certain types of Lambert series. 1
Abstract. In the paper we consider deemed three mock theta functions introduced by Hikami. We have g...
An exact transformation, which we call the master identity, is obtained for the first time for the s...
We summarize the known useful and interesting results and formulas we have discovered so far in this...
Abstract. Let (αn(a, k), βn(a, k)) be a WP-Bailey pair. Assuming the limits exist, let (α∗n(a), β n(...
If k is set equal to aq in the definition of a WP Bailey pair, βn(a, k) = n∑ j=0 (k/a)n−j(k)n+j (q)n...
AbstractWe prove a new Bailey-type transformation relating WP-Bailey pairs. We then use this transfo...
Abstract. We examine certain limiting cases of a WP-Bailey chain discovered by George Andrews, and o...
Abstract. We use a special case of a transformation, deriving from a construction of George Andrews ...
We prove a general result on Bailey pairs and show that two Bailey pairs of Bringmann and Kane are s...
We derive a new general transformation for WP-Bailey pairs by considering the a certain limiting cas...
We reformulate two construction of George Andrews (constructions which enable new WP-Bailey pairs to...
Abstract. An empirical exploration of five of Ramanujan’s intriguing false theta function identities...
Standard applications of the Bailey chain preserve mixed mock modularity but not mock modularity. Af...
Motivated by a recent paper of Liu and Ma, we describe a number of general WP-Bailey chains. We show...
110 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.In this thesis, firstly we de...
Abstract. In the paper we consider deemed three mock theta functions introduced by Hikami. We have g...
An exact transformation, which we call the master identity, is obtained for the first time for the s...
We summarize the known useful and interesting results and formulas we have discovered so far in this...
Abstract. Let (αn(a, k), βn(a, k)) be a WP-Bailey pair. Assuming the limits exist, let (α∗n(a), β n(...
If k is set equal to aq in the definition of a WP Bailey pair, βn(a, k) = n∑ j=0 (k/a)n−j(k)n+j (q)n...
AbstractWe prove a new Bailey-type transformation relating WP-Bailey pairs. We then use this transfo...
Abstract. We examine certain limiting cases of a WP-Bailey chain discovered by George Andrews, and o...
Abstract. We use a special case of a transformation, deriving from a construction of George Andrews ...
We prove a general result on Bailey pairs and show that two Bailey pairs of Bringmann and Kane are s...
We derive a new general transformation for WP-Bailey pairs by considering the a certain limiting cas...
We reformulate two construction of George Andrews (constructions which enable new WP-Bailey pairs to...
Abstract. An empirical exploration of five of Ramanujan’s intriguing false theta function identities...
Standard applications of the Bailey chain preserve mixed mock modularity but not mock modularity. Af...
Motivated by a recent paper of Liu and Ma, we describe a number of general WP-Bailey chains. We show...
110 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.In this thesis, firstly we de...
Abstract. In the paper we consider deemed three mock theta functions introduced by Hikami. We have g...
An exact transformation, which we call the master identity, is obtained for the first time for the s...
We summarize the known useful and interesting results and formulas we have discovered so far in this...