The well-known Bailey’s transform is extended. Using the extended transform, we derive hitherto undiscovered ordinary and q-hypergeometric identities and discuss their partic-ular cases of importance, namely, two new q-sums for Saalschützian 4Φ3, new double se-ries Rogers-Ramanujan-type identities of modulo 81, discrete extension of the q-analogs of two quadratic transformations of 2F1, and two new quadratic-cubic transformations of 3F2. 1
Using multiple q-integrals and a determinant evaluation, we establish a multivariable extension of B...
Abstract. We deduce new q-series identities by applying inverse rela-tions to certain identities for...
We give several expansion and identities involving the Ramanujan function Aq and the Stieltjes–Wiger...
Abstract. We use a special case of a transformation, deriving from a construction of George Andrews ...
This report is concerned about q-series and some of their applications. Firstly, Jacobi’s q-series p...
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 have obtained two new transformation formulae with the help of Bailey's transform, one of...
We reformulate two construction of George Andrews (constructions which enable new WP-Bailey pairs to...
AbstractIn this paper we derive new, more symmetrical expansions for (q; q)∞n2+2n by means of our mu...
Dedicated to Dick Askey on the occasion of his 66th birthday, and to the memory of D.B. Sears whose ...
AbstractIn this paper, we give several new transformation formulae and generalize one result obtaine...
AbstractUsing multiple q-integrals and a determinant evaluation, we establish a multivariable extens...
The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeom...
AbstractIn this paper we derive multivariable generalizations of Bailey's classical terminating very...
AbstractWe prove a new Bailey-type transformation relating WP-Bailey pairs. We then use this transfo...
Using multiple q-integrals and a determinant evaluation, we establish a multivariable extension of B...
Abstract. We deduce new q-series identities by applying inverse rela-tions to certain identities for...
We give several expansion and identities involving the Ramanujan function Aq and the Stieltjes–Wiger...
Abstract. We use a special case of a transformation, deriving from a construction of George Andrews ...
This report is concerned about q-series and some of their applications. Firstly, Jacobi’s q-series p...
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 have obtained two new transformation formulae with the help of Bailey's transform, one of...
We reformulate two construction of George Andrews (constructions which enable new WP-Bailey pairs to...
AbstractIn this paper we derive new, more symmetrical expansions for (q; q)∞n2+2n by means of our mu...
Dedicated to Dick Askey on the occasion of his 66th birthday, and to the memory of D.B. Sears whose ...
AbstractIn this paper, we give several new transformation formulae and generalize one result obtaine...
AbstractUsing multiple q-integrals and a determinant evaluation, we establish a multivariable extens...
The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeom...
AbstractIn this paper we derive multivariable generalizations of Bailey's classical terminating very...
AbstractWe prove a new Bailey-type transformation relating WP-Bailey pairs. We then use this transfo...
Using multiple q-integrals and a determinant evaluation, we establish a multivariable extension of B...
Abstract. We deduce new q-series identities by applying inverse rela-tions to certain identities for...
We give several expansion and identities involving the Ramanujan function Aq and the Stieltjes–Wiger...