We record $$ \binom{42}2+\binom{23}2+\binom{13}2=1192 $$ functional identities that, apart from being amazingly amusing by themselves, find applications in derivation of Ramanujan-type formulas for $1/\pi$ and in computation of mathematical constants
Included in Ramanujan’s Notebooks are two reciprocal identities. The first identity connects the Rog...
Two level 17 modular functions r=q2∏n=1∞(1−qn)(n17),s=q2∏n=1∞(1−q17n)3(1−qn)3 are used to construct ...
Two level 17 modular functions r=q2∏n=1∞(1−qn)(n17),s=q2∏n=1∞(1−q17n)3(1−qn)3 are used to construct ...
AbstractA hypergeometric transformation formula is developed that simultaneously simplifies and gene...
During his lifetime, Ramanujan provided many formulae relating binomial sums to special values of th...
In a handwritten manuscript published with his lost notebook, Ramanujan stated without proofs forty ...
Ramanujan stated an identity to the effect that if three sequences {an}, {bn} and {cn} are defined b...
Ramanujan stated an identity to the effect that if three sequences {an}, {bn} and {cn} are defined b...
Ramanujan stated an identity to the effect that if three sequences {an}, {bn} and {cn} are defined b...
Ramanujan stated an identity to the effect that if three sequences {an}, {bn} and {cn} are defined b...
In this paper, first we establish some new relations for ratios of Ramanujan’s theta functions. We e...
In a handwritten manuscript published with his lost notebook, Ramanujan stated without proofs forty ...
Included in Ramanujan’s Notebooks are two reciprocal identities. The first identity connects the Rog...
Two level 17 modular functions r=q2∏n=1∞(1−qn)(n17),s=q2∏n=1∞(1−q17n)3(1−qn)3 are used to construct ...
Included in Ramanujan’s Notebooks are two reciprocal identities. The first identity connects the Rog...
Included in Ramanujan’s Notebooks are two reciprocal identities. The first identity connects the Rog...
Two level 17 modular functions r=q2∏n=1∞(1−qn)(n17),s=q2∏n=1∞(1−q17n)3(1−qn)3 are used to construct ...
Two level 17 modular functions r=q2∏n=1∞(1−qn)(n17),s=q2∏n=1∞(1−q17n)3(1−qn)3 are used to construct ...
AbstractA hypergeometric transformation formula is developed that simultaneously simplifies and gene...
During his lifetime, Ramanujan provided many formulae relating binomial sums to special values of th...
In a handwritten manuscript published with his lost notebook, Ramanujan stated without proofs forty ...
Ramanujan stated an identity to the effect that if three sequences {an}, {bn} and {cn} are defined b...
Ramanujan stated an identity to the effect that if three sequences {an}, {bn} and {cn} are defined b...
Ramanujan stated an identity to the effect that if three sequences {an}, {bn} and {cn} are defined b...
Ramanujan stated an identity to the effect that if three sequences {an}, {bn} and {cn} are defined b...
In this paper, first we establish some new relations for ratios of Ramanujan’s theta functions. We e...
In a handwritten manuscript published with his lost notebook, Ramanujan stated without proofs forty ...
Included in Ramanujan’s Notebooks are two reciprocal identities. The first identity connects the Rog...
Two level 17 modular functions r=q2∏n=1∞(1−qn)(n17),s=q2∏n=1∞(1−q17n)3(1−qn)3 are used to construct ...
Included in Ramanujan’s Notebooks are two reciprocal identities. The first identity connects the Rog...
Included in Ramanujan’s Notebooks are two reciprocal identities. The first identity connects the Rog...
Two level 17 modular functions r=q2∏n=1∞(1−qn)(n17),s=q2∏n=1∞(1−q17n)3(1−qn)3 are used to construct ...
Two level 17 modular functions r=q2∏n=1∞(1−qn)(n17),s=q2∏n=1∞(1−q17n)3(1−qn)3 are used to construct ...
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