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 in finite sum representations for these in finite products. The resulting identities are identities of Rogers-Ramanujan type. Some integer partition interpretations of these identities are given. Generalizations 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...
AbstractWe evaluate several integrals involving generating functions of continuous q-Hermite polynom...
127 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.Finally, we prove generalizat...
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...
The reciprocals of the Rogers-Ramanujan identities are considered, and it it shown that the results ...
Using a pair of two variable series-product identities recorded by Ramanujan in the lost notebook as...
AbstractIn this paper a partition theorem is proved which contains the Rogers-Ramanujan identities a...
Recently, Rosengren utilized an integral method to prove a number of conjectural identities found by...
Basil Gordon, in the sixties, and George Andrews, in the seventies, generalized the Rogers-Ramanujan...
Abstract. A new polynomial analogue of the Rogers–Ramanujan identities is proven. Here the product-s...
Abstract. We nd involutions for three Rogers-Ramanujan-Gordon type identities obtained by Andrews on...
In his notebooks, Ramanujan recorded 40 beautiful modular relations for the Rogers-Ramanujan functio...
In a handwritten manuscript published with his lost notebook, Ramanujan stated without proofs forty ...
We give several expansion and identities involving the Ramanujan function Aq and the Stieltjes–Wiger...
AbstractWe evaluate several integrals involving generating functions of continuous q-Hermite polynom...
127 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.Finally, we prove generalizat...
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...
The reciprocals of the Rogers-Ramanujan identities are considered, and it it shown that the results ...
Using a pair of two variable series-product identities recorded by Ramanujan in the lost notebook as...
AbstractIn this paper a partition theorem is proved which contains the Rogers-Ramanujan identities a...
Recently, Rosengren utilized an integral method to prove a number of conjectural identities found by...
Basil Gordon, in the sixties, and George Andrews, in the seventies, generalized the Rogers-Ramanujan...
Abstract. A new polynomial analogue of the Rogers–Ramanujan identities is proven. Here the product-s...
Abstract. We nd involutions for three Rogers-Ramanujan-Gordon type identities obtained by Andrews on...
In his notebooks, Ramanujan recorded 40 beautiful modular relations for the Rogers-Ramanujan functio...
In a handwritten manuscript published with his lost notebook, Ramanujan stated without proofs forty ...
We give several expansion and identities involving the Ramanujan function Aq and the Stieltjes–Wiger...
AbstractWe evaluate several integrals involving generating functions of continuous q-Hermite polynom...
127 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.Finally, we prove generalizat...