Add to ORKGDuring his lifetime, Ramanujan provided many formulae relating binomial sums to special values of the Gamma function. Based on numerical computations, Van Hamme recently conjectured p-adic analogues to such formulae. Using a combination of ordinary and Gaussian hypergeometric series, we prove one of these conjectures
This thesis deals with a method of expressing, as infinite products, some special limiting cases of ...
AbstractWe give an explicit p-adic expansion of ∑∗j=1npqj/[j]r as a power series in n which generali...
We obtain complete asymptotic expansions for certain ^-hypergeometric series, including those pertai...
During his lifetime, Ramanujan provided many formulae relating binomial sums to special values of th...
. We state and prove a claim of Ramanujan. As a consequence, a large new class of Saalschutzian hype...
AbstractWe extend the methods of our previous article to express special values of p-adic hypergeome...
Some of the most interesting of Ramanujan's continued fraction identities are those involving ratio...
On special values of generalized p-adic hypergeometric functions by Kaori Ota (Tokyo) We generalize ...
AbstractWe present some summation formulae for some special values of ratios of generalizedp-adic hy...
We introduce new kinds of p-adic hypergeometric functions. We show these functions satisfy congruenc...
AbstractUsing some properties of the general rising shifted factorial and the gamma function we deri...
AbstractWe deduce new q-series identities by applying inverse relations to certain identities for ba...
Abstract. We deduce new q-series identities by applying inverse rela-tions to certain identities for...
Abstract. A new polynomial analogue of the Rogers–Ramanujan identities is proven. Here the product-s...
101 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2005.In Chapters 4 and 5, we apply...
This thesis deals with a method of expressing, as infinite products, some special limiting cases of ...
AbstractWe give an explicit p-adic expansion of ∑∗j=1npqj/[j]r as a power series in n which generali...
We obtain complete asymptotic expansions for certain ^-hypergeometric series, including those pertai...
During his lifetime, Ramanujan provided many formulae relating binomial sums to special values of th...
. We state and prove a claim of Ramanujan. As a consequence, a large new class of Saalschutzian hype...
AbstractWe extend the methods of our previous article to express special values of p-adic hypergeome...
Some of the most interesting of Ramanujan's continued fraction identities are those involving ratio...
On special values of generalized p-adic hypergeometric functions by Kaori Ota (Tokyo) We generalize ...
AbstractWe present some summation formulae for some special values of ratios of generalizedp-adic hy...
We introduce new kinds of p-adic hypergeometric functions. We show these functions satisfy congruenc...
AbstractUsing some properties of the general rising shifted factorial and the gamma function we deri...
AbstractWe deduce new q-series identities by applying inverse relations to certain identities for ba...
Abstract. We deduce new q-series identities by applying inverse rela-tions to certain identities for...
Abstract. A new polynomial analogue of the Rogers–Ramanujan identities is proven. Here the product-s...
101 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2005.In Chapters 4 and 5, we apply...
This thesis deals with a method of expressing, as infinite products, some special limiting cases of ...
AbstractWe give an explicit p-adic expansion of ∑∗j=1npqj/[j]r as a power series in n which generali...
We obtain complete asymptotic expansions for certain ^-hypergeometric series, including those pertai...