Add to ORKGWe consider a special case of a WP-Bailey chain of George Andrews, and use it to derive a number of curious transformations of basic hypergeometric series. We also derive two new WP-Bailey pairs, and use them to derive some new transformations for basic hypergeometric series. Finally, we briefly consider the implications of WP-Bailey pairs (αn(a, k), βn(a, k)), in which αn(a, k) is independent of k, for generalizations of identities of the Rogers-Ramanujan type
16 pagesInternational audienceThe Bailey lemma is a famous tool to prove Rogers-Ramanujan type ident...
AbstractWe establish a number of extensions of the well-poised Bailey lemma and elliptic well-poised...
Lucy Slater used Bailey\u27s 6ψ6 summation formula to derive the Bailey pairs she used to construct ...
We consider a special case of a WP-Bailey chain of George Andrews, and use it to derive a number of ...
If k is set equal to aq in the definition of a WP Bailey pair, βn(a, k) = Xn j=0 (k/a)n−j (k)n+j (q)...
A pair of sequences (αn(a,k,q),βn(a,k,q)) such that α0(a,k,q)=1 and βn(a,k,q)=∑nj=0(k/a;q)n−j(k;q)n+...
We prove a new Bailey-type transformation relating WPBailey pairs. We then use this transformation t...
Motivated by a recent paper of Liu and Ma, we describe a number of general WP-Bailey chains. We show...
We derive a new general transformation for WP-Bailey pairs by considering the a certain limiting cas...
We derive several new transformations relating WP-Bailey pairs. We also consider the corresponding r...
AbstractWe consider a special case of a WP-Bailey chain of George Andrews, and use it to derive a nu...
16 pagesInternational audienceThe Bailey lemma is a famous tool to prove Rogers-Ramanujan type ident...
AbstractWe establish a number of extensions of the well-poised Bailey lemma and elliptic well-poised...
Lucy Slater used Bailey\u27s 6ψ6 summation formula to derive the Bailey pairs she used to construct ...
We consider a special case of a WP-Bailey chain of George Andrews, and use it to derive a number of ...
If k is set equal to aq in the definition of a WP Bailey pair, βn(a, k) = Xn j=0 (k/a)n−j (k)n+j (q)...
A pair of sequences (αn(a,k,q),βn(a,k,q)) such that α0(a,k,q)=1 and βn(a,k,q)=∑nj=0(k/a;q)n−j(k;q)n+...
We prove a new Bailey-type transformation relating WPBailey pairs. We then use this transformation t...
Motivated by a recent paper of Liu and Ma, we describe a number of general WP-Bailey chains. We show...
We derive a new general transformation for WP-Bailey pairs by considering the a certain limiting cas...
We derive several new transformations relating WP-Bailey pairs. We also consider the corresponding r...
AbstractWe consider a special case of a WP-Bailey chain of George Andrews, and use it to derive a nu...
16 pagesInternational audienceThe Bailey lemma is a famous tool to prove Rogers-Ramanujan type ident...
AbstractWe establish a number of extensions of the well-poised Bailey lemma and elliptic well-poised...
Lucy Slater used Bailey\u27s 6ψ6 summation formula to derive the Bailey pairs she used to construct ...