Recently, C. Adiga and the author have derived general formulas to express the product of two theta functions as linear combinations of other products of theta functions. In this paper, we employ these formulas to establish new identities that are analogous to the famous Schröter's formulas. As applications of these formulas, we establish several new modular relations for Rogers-Ramanu-jan functions, Gollnitz-Gordon. septic, nonic and dodecic analogues of the Rogers-Ramanujan functions
In this paper, we establish several modular relations for the Rogers–Ramanujan type functions of ord...
In a manuscript of Ramanujan, published with his Lost Notebook [20] there are forty identities invo...
AbstractWe present several new families of Rogers–Ramanujan type identities related to the moduli 18...
In this thesis, we prove several identities involving Ramanujan's general theta function. In Chapter...
In his notebooks, Ramanujan recorded 40 beautiful modular relations for the Rogers-Ramanujan functio...
AbstractWe define the nonic Rogers–Ramanujan-type functions D(q), E(q) and F(q) and establish severa...
In this paper, we derive certain identities for ratios of theta-functions. As applications of the id...
In this paper, we derive certain identities for ratios of theta-functions. As applications of the id...
AbstractWe attempt to obtain new modular relations for the Göllnitz–Gordon functions by techniques w...
Recently, the authors have established a large class of modular relations involving the Rogers-Raman...
AbstractIn the unorganized pages of his second notebook, Ramanujan offers two new theta-function ide...
110 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.In this thesis, firstly we de...
110 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.In this thesis, firstly we de...
As a unified approach, Jacobi\u27s triple product identity will be utilized to derive theta function...
In this paper, we establish several modular relations for the Rogers–Ramanujan type functions of ord...
In this paper, we establish several modular relations for the Rogers–Ramanujan type functions of ord...
In a manuscript of Ramanujan, published with his Lost Notebook [20] there are forty identities invo...
AbstractWe present several new families of Rogers–Ramanujan type identities related to the moduli 18...
In this thesis, we prove several identities involving Ramanujan's general theta function. In Chapter...
In his notebooks, Ramanujan recorded 40 beautiful modular relations for the Rogers-Ramanujan functio...
AbstractWe define the nonic Rogers–Ramanujan-type functions D(q), E(q) and F(q) and establish severa...
In this paper, we derive certain identities for ratios of theta-functions. As applications of the id...
In this paper, we derive certain identities for ratios of theta-functions. As applications of the id...
AbstractWe attempt to obtain new modular relations for the Göllnitz–Gordon functions by techniques w...
Recently, the authors have established a large class of modular relations involving the Rogers-Raman...
AbstractIn the unorganized pages of his second notebook, Ramanujan offers two new theta-function ide...
110 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.In this thesis, firstly we de...
110 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.In this thesis, firstly we de...
As a unified approach, Jacobi\u27s triple product identity will be utilized to derive theta function...
In this paper, we establish several modular relations for the Rogers–Ramanujan type functions of ord...
In this paper, we establish several modular relations for the Rogers–Ramanujan type functions of ord...
In a manuscript of Ramanujan, published with his Lost Notebook [20] there are forty identities invo...
AbstractWe present several new families of Rogers–Ramanujan type identities related to the moduli 18...