In a recent paper G. Bhatnagar has given simple proofs of some of Ramanujan’s continued fractions. In this note we show that some variants of these continued fractions are generating functions of q Schröder-like numbers. In a recent “tutorial ” Gaurav Bhatnagar [3] has given simple proofs of some of Ramanujan’s (convergent) q continued fractions by using an elementary method of Euler. I had not been aware of these continued fractions before but came across similar formulae in the study o
We study and try to explain the genesis of some formulas of continuous fractions from Ramanujan, whi...
We study and try to explain the genesis of some formulas of continuous fractions from Ramanujan, whi...
Abstract. In this paper, we give a new proof for two identities involving Ramanujan’s cubic continue...
Abstract. By using Euler’s approach of using Euclid’s algorithm to expand a power series into a cont...
Ramanujan has recorded several continued fractions in his notebooks. In this paper, we establish sev...
94 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.In Chapter 5, we prove two oth...
We provide explicit solutions for three q-difference equations which arise in Ramanujan and Selberg'...
On Page 36 of his “lost” notebook, Ramanujan recorded four q-series representations of the famous Ro...
Ramanujan recorded many beautiful continued fractions in his notebooks. In this paper, we derive sev...
77 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.In this thesis we study genera...
Some of the most interesting of Ramanujan's continued fraction identities are those involving ratio...
this paper we establish four values for R(q) stated on page 311 in Ramanujan's first notebook, ...
We give new and simple proofs to some famous q-continued fraction identities of Ramanujan by using t...
AbstractWe shall consider arithmetical properties of the q-continued fractionsKn=1∞qsn(S0+S1qn+⋯+Shq...
We study and try to explain the genesis of some formulas of continuous fractions from Ramanujan, whi...
We study and try to explain the genesis of some formulas of continuous fractions from Ramanujan, whi...
We study and try to explain the genesis of some formulas of continuous fractions from Ramanujan, whi...
Abstract. In this paper, we give a new proof for two identities involving Ramanujan’s cubic continue...
Abstract. By using Euler’s approach of using Euclid’s algorithm to expand a power series into a cont...
Ramanujan has recorded several continued fractions in his notebooks. In this paper, we establish sev...
94 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.In Chapter 5, we prove two oth...
We provide explicit solutions for three q-difference equations which arise in Ramanujan and Selberg'...
On Page 36 of his “lost” notebook, Ramanujan recorded four q-series representations of the famous Ro...
Ramanujan recorded many beautiful continued fractions in his notebooks. In this paper, we derive sev...
77 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.In this thesis we study genera...
Some of the most interesting of Ramanujan's continued fraction identities are those involving ratio...
this paper we establish four values for R(q) stated on page 311 in Ramanujan's first notebook, ...
We give new and simple proofs to some famous q-continued fraction identities of Ramanujan by using t...
AbstractWe shall consider arithmetical properties of the q-continued fractionsKn=1∞qsn(S0+S1qn+⋯+Shq...
We study and try to explain the genesis of some formulas of continuous fractions from Ramanujan, whi...
We study and try to explain the genesis of some formulas of continuous fractions from Ramanujan, whi...
We study and try to explain the genesis of some formulas of continuous fractions from Ramanujan, whi...
Abstract. In this paper, we give a new proof for two identities involving Ramanujan’s cubic continue...