In this paper we show how the three variable reciprocity theorem can be easily derived from the well known two variable reciprocity theorem of Ramanujan by parameter augmentation. Further we derive some q-gamma, q-beta and eta-function identities from the three variable reciprocity theorem
A q-difference equation on eight shifted factorials of infinite order will be established. As conse-...
Some of the most interesting of Ramanujan's continued fraction identities are those involving ratio...
AbstractWe define two quotients of theta-function ψ depending on two positive real parameters. We th...
Two new representations for Ramanujan's function σ(q) are obtained. The proof of the first one uses ...
[[abstract]]In this paper, we obtain a new proof of Ramanujan’s receprocity theorem using an Heine’s...
AbstractBy virtue of Shukla's well-known bilateral ψ88 summation formula and Watson's transfor-matio...
We give new proof of a four-variable reciprocity theorem using Heine’s transformation, Watson’s tran...
On page 366 of his lost notebook 15, Ramanujan recorded a cubic contin- ued fraction and several the...
In his 'lost' notebook, S. Ramanujan introduced the parameter μ(q):= R(q)R(q 4) related to the Roge...
Abstract. A proof of quadratic reciprocity over function fields is given using the inversion formula...
We study q-integral representations of the q-gamma and the q-beta functions. This study leads to a v...
AbstractQuadratic reciprocity laws for the rationals and rational function fields are proved. An ele...
A generalization of a beautiful q-series identity found in the unorganized portion of Ramanujan's se...
A q-difference equation on eight shifted factorials of infinite order will be established. As conseq...
Abstract. In this paper we first give alternative proofs of two Ramanujan’s theta function identitie...
A q-difference equation on eight shifted factorials of infinite order will be established. As conse-...
Some of the most interesting of Ramanujan's continued fraction identities are those involving ratio...
AbstractWe define two quotients of theta-function ψ depending on two positive real parameters. We th...
Two new representations for Ramanujan's function σ(q) are obtained. The proof of the first one uses ...
[[abstract]]In this paper, we obtain a new proof of Ramanujan’s receprocity theorem using an Heine’s...
AbstractBy virtue of Shukla's well-known bilateral ψ88 summation formula and Watson's transfor-matio...
We give new proof of a four-variable reciprocity theorem using Heine’s transformation, Watson’s tran...
On page 366 of his lost notebook 15, Ramanujan recorded a cubic contin- ued fraction and several the...
In his 'lost' notebook, S. Ramanujan introduced the parameter μ(q):= R(q)R(q 4) related to the Roge...
Abstract. A proof of quadratic reciprocity over function fields is given using the inversion formula...
We study q-integral representations of the q-gamma and the q-beta functions. This study leads to a v...
AbstractQuadratic reciprocity laws for the rationals and rational function fields are proved. An ele...
A generalization of a beautiful q-series identity found in the unorganized portion of Ramanujan's se...
A q-difference equation on eight shifted factorials of infinite order will be established. As conseq...
Abstract. In this paper we first give alternative proofs of two Ramanujan’s theta function identitie...
A q-difference equation on eight shifted factorials of infinite order will be established. As conse-...
Some of the most interesting of Ramanujan's continued fraction identities are those involving ratio...
AbstractWe define two quotients of theta-function ψ depending on two positive real parameters. We th...