AbstractIn this paper, we prove a new formula for circular summation of theta functions, which greatly extends Ramanujan's circular summation of theta functions and a very recent result of Zeng. Some applications of this circular summation formula are given. Also, an imaginary transformation for multiple theta functions is derived
In this paper, we establish several new modular equations of degree 9 using Ramanujan's modular equa...
AbstractWe undertake a thorough investigation of the moments of Ramanujanʼs alternative elliptic int...
AbstractRamanujan recorded additive formulae of theta functions that are related to modular equation...
AbstractIn this note, we make a correction of the imaginary transformation formula of Chan and Liuʼs...
AbstractIn this paper, we prove Ramanujan's circular summation formulas previously studied by S.S. R...
In his second notebook, Ramanujan recorded altogether 23 P–Q modular equations involving his theta f...
AbstractIn this paper we give a new proof of Ramanujanʼs continued fraction involving the Gamma func...
AbstractWe prove two identities involving Dirichlet series, in the denominators of whose terms sums ...
AbstractUsing some properties of the general rising shifted factorial and the gamma function we deri...
AbstractWe shall extract the essence of the Adamchik–Srivastava generating function method (Analysis...
Ramanujan in his notebooks, has established several new modular equation which he denoted as P and Q...
AbstractWe deduce new q-series identities by applying inverse relations to certain identities for ba...
At scattered places in his notebooks, Ramanujan recorded some theorems for calculating singular ...
On pages 338 and 339 in his first notebook (Notebooks (2 volumes), [1957]), Ramanujan records eighte...
AbstractIn this paper, we prove some generalisations of several theorems given in [K.A. Driver, S.J....
In this paper, we establish several new modular equations of degree 9 using Ramanujan's modular equa...
AbstractWe undertake a thorough investigation of the moments of Ramanujanʼs alternative elliptic int...
AbstractRamanujan recorded additive formulae of theta functions that are related to modular equation...
AbstractIn this note, we make a correction of the imaginary transformation formula of Chan and Liuʼs...
AbstractIn this paper, we prove Ramanujan's circular summation formulas previously studied by S.S. R...
In his second notebook, Ramanujan recorded altogether 23 P–Q modular equations involving his theta f...
AbstractIn this paper we give a new proof of Ramanujanʼs continued fraction involving the Gamma func...
AbstractWe prove two identities involving Dirichlet series, in the denominators of whose terms sums ...
AbstractUsing some properties of the general rising shifted factorial and the gamma function we deri...
AbstractWe shall extract the essence of the Adamchik–Srivastava generating function method (Analysis...
Ramanujan in his notebooks, has established several new modular equation which he denoted as P and Q...
AbstractWe deduce new q-series identities by applying inverse relations to certain identities for ba...
At scattered places in his notebooks, Ramanujan recorded some theorems for calculating singular ...
On pages 338 and 339 in his first notebook (Notebooks (2 volumes), [1957]), Ramanujan records eighte...
AbstractIn this paper, we prove some generalisations of several theorems given in [K.A. Driver, S.J....
In this paper, we establish several new modular equations of degree 9 using Ramanujan's modular equa...
AbstractWe undertake a thorough investigation of the moments of Ramanujanʼs alternative elliptic int...
AbstractRamanujan recorded additive formulae of theta functions that are related to modular equation...
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