Some integrals involving three bases are evaluated as infinite products using complex analysis. Many special cases of these integrals may be evaluated in another way to find infinite sum representations for these infinite products. The resulting identities are identities of Rogers-Ramanujan type. Some integer partition interpretations of these identities are given. General- izations of the Rogers-Ramanujan type identities involving polynomials are given again as corollaries of integral evaluations
We give several expansion and identities involving the Ramanujan function Aq and the Stieltjes–Wiger...
Abstract. In this paper, a common generalization of the Rogers-Ramanujan series and the generating f...
AbstractWe evaluate several integrals involving generating functions of continuous q-Hermite polynom...
Some integrals involving three bases are evaluated as infinite products using complex analysis. Many...
Some integrals involving three bases are evaluated as infinite products using complex analysis. Many...
Abstract In 1894, Rogers found the two identities for the first time. In 1913, Ramanujan found the t...
AbstractBy applying the bisection and trisection method to Jacobi's triple product identity, we esta...
Using a pair of two variable series-product identities recorded by Ramanujan in the lost notebook as...
The reciprocals of the Rogers-Ramanujan identities are considered, and it it shown that the results ...
Basil Gordon, in the sixties, and George Andrews, in the seventies, generalized the Rogers-Ramanujan...
AbstractIn this paper a partition theorem is proved which contains the Rogers-Ramanujan identities a...
In his notebooks, Ramanujan recorded 40 beautiful modular relations for the Rogers-Ramanujan functio...
Recently, Rosengren utilized an integral method to prove a number of conjectural identities found by...
Abstract. We nd involutions for three Rogers-Ramanujan-Gordon type identities obtained by Andrews on...
Abstract. A new polynomial analogue of the Rogers–Ramanujan identities is proven. Here the product-s...
We give several expansion and identities involving the Ramanujan function Aq and the Stieltjes–Wiger...
Abstract. In this paper, a common generalization of the Rogers-Ramanujan series and the generating f...
AbstractWe evaluate several integrals involving generating functions of continuous q-Hermite polynom...
Some integrals involving three bases are evaluated as infinite products using complex analysis. Many...
Some integrals involving three bases are evaluated as infinite products using complex analysis. Many...
Abstract In 1894, Rogers found the two identities for the first time. In 1913, Ramanujan found the t...
AbstractBy applying the bisection and trisection method to Jacobi's triple product identity, we esta...
Using a pair of two variable series-product identities recorded by Ramanujan in the lost notebook as...
The reciprocals of the Rogers-Ramanujan identities are considered, and it it shown that the results ...
Basil Gordon, in the sixties, and George Andrews, in the seventies, generalized the Rogers-Ramanujan...
AbstractIn this paper a partition theorem is proved which contains the Rogers-Ramanujan identities a...
In his notebooks, Ramanujan recorded 40 beautiful modular relations for the Rogers-Ramanujan functio...
Recently, Rosengren utilized an integral method to prove a number of conjectural identities found by...
Abstract. We nd involutions for three Rogers-Ramanujan-Gordon type identities obtained by Andrews on...
Abstract. A new polynomial analogue of the Rogers–Ramanujan identities is proven. Here the product-s...
We give several expansion and identities involving the Ramanujan function Aq and the Stieltjes–Wiger...
Abstract. In this paper, a common generalization of the Rogers-Ramanujan series and the generating f...
AbstractWe evaluate several integrals involving generating functions of continuous q-Hermite polynom...