Add to ORKG[[abstract]]In this paper, we obtain a new proof of Ramanujan’s receprocity theorem using an Heine’s transformation which is a generalization of Jacobi’s triple product identity. We show that the reciprocity theorem leads to a q-integral extension of the classical gamma function. We conclude by deducing some new eta-fucntion identities
On page 366 of his lost notebook 15, Ramanujan recorded a cubic contin- ued fraction and several the...
Some of the most interesting of Ramanujan's continued fraction identities are those involving ratio...
In 1915, Ramanujan stated the following formula ∫ 0 ∞ t x - 1 ( - a t ; q ) ∞ ( - t...
[[abstract]]In this paper, we obtain a new proof of Ramanujan’s receprocity theorem using an Heine’s...
In this paper we show how the three variable reciprocity theorem can be easily derived from the well...
Two new representations for Ramanujan's function σ(q) are obtained. The proof of the first one uses ...
We give new proof of a four-variable reciprocity theorem using Heine’s transformation, Watson’s tran...
We study q-integral representations of the q-gamma and the q-beta functions. This study leads to a v...
Abstract: In his ‘lost ’ notebook, Ramanujan recorded several P-Q identities. In this paper we obtai...
In his 'lost' notebook, S. Ramanujan introduced the parameter μ(q):= R(q)R(q 4) related to the Roge...
AbstractIn this note we deduce a family of eta-function identities using Ramanujan′s 1ψ1 summation
In this note we deduce a family of eta-function identities using Ramanujan′s 1ψ1 summation
110 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.In this thesis, firstly we de...
A q-difference equation on eight shifted factorials of infinite order will be established. As conseq...
AbstractBy virtue of Shukla's well-known bilateral ψ88 summation formula and Watson's transfor-matio...
On page 366 of his lost notebook 15, Ramanujan recorded a cubic contin- ued fraction and several the...
Some of the most interesting of Ramanujan's continued fraction identities are those involving ratio...
In 1915, Ramanujan stated the following formula ∫ 0 ∞ t x - 1 ( - a t ; q ) ∞ ( - t...
[[abstract]]In this paper, we obtain a new proof of Ramanujan’s receprocity theorem using an Heine’s...
In this paper we show how the three variable reciprocity theorem can be easily derived from the well...
Two new representations for Ramanujan's function σ(q) are obtained. The proof of the first one uses ...
We give new proof of a four-variable reciprocity theorem using Heine’s transformation, Watson’s tran...
We study q-integral representations of the q-gamma and the q-beta functions. This study leads to a v...
Abstract: In his ‘lost ’ notebook, Ramanujan recorded several P-Q identities. In this paper we obtai...
In his 'lost' notebook, S. Ramanujan introduced the parameter μ(q):= R(q)R(q 4) related to the Roge...
AbstractIn this note we deduce a family of eta-function identities using Ramanujan′s 1ψ1 summation
In this note we deduce a family of eta-function identities using Ramanujan′s 1ψ1 summation
110 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.In this thesis, firstly we de...
A q-difference equation on eight shifted factorials of infinite order will be established. As conseq...
AbstractBy virtue of Shukla's well-known bilateral ψ88 summation formula and Watson's transfor-matio...
On page 366 of his lost notebook 15, Ramanujan recorded a cubic contin- ued fraction and several the...
Some of the most interesting of Ramanujan's continued fraction identities are those involving ratio...
In 1915, Ramanujan stated the following formula ∫ 0 ∞ t x - 1 ( - a t ; q ) ∞ ( - t...