AbstractUsing some properties of the general rising shifted factorial and the gamma function we derive a variant form of Dougallʼs F45 summation for the classical hypergeometric functions. This variant form allows us to derive easily many Ramanujan type series for 1/π and Ramanujan type series for some other constants
101 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2005.In Chapters 4 and 5, we apply...
The main contribution of this paper is to propose a closed expression for the Ramanujan constant of ...
AbstractA consideration of odd and even terms of hypergeometric series of higher order leads to new ...
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...
. We state and prove a claim of Ramanujan. As a consequence, a large new class of Saalschutzian hype...
Essentially, whenever a generalized hypergeometric series can be summed in terms of gamma functions,...
Essentially, whenever a generalized hypergeometric series can be summed in terms of gamma functions,...
ABSTRACT Srinivasa Ramanujan had established several hypergeometric series for the number 1/π out of...
AbstractWe derive summation formulas for a specific kind of multidimensional basic hypergeometric se...
Some of the most interesting of Ramanujan's continued fraction identities are those involving ratio...
AbstractExample 7, after Entry 43, in Chapter XII of the first Notebook of Srinivasa Ramanujan is pr...
AbstractUsing a simple method, numerous summation formulas for hypergeometric and basic hypergeometr...
International audienceIn Chapter VI of his second Notebook Ramanujan introduce the Euler-MacLaurin f...
International audienceIn Chapter VI of his second Notebook Ramanujan introduce the Euler-MacLaurin f...
101 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2005.In Chapters 4 and 5, we apply...
The main contribution of this paper is to propose a closed expression for the Ramanujan constant of ...
AbstractA consideration of odd and even terms of hypergeometric series of higher order leads to new ...
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...
. We state and prove a claim of Ramanujan. As a consequence, a large new class of Saalschutzian hype...
Essentially, whenever a generalized hypergeometric series can be summed in terms of gamma functions,...
Essentially, whenever a generalized hypergeometric series can be summed in terms of gamma functions,...
ABSTRACT Srinivasa Ramanujan had established several hypergeometric series for the number 1/π out of...
AbstractWe derive summation formulas for a specific kind of multidimensional basic hypergeometric se...
Some of the most interesting of Ramanujan's continued fraction identities are those involving ratio...
AbstractExample 7, after Entry 43, in Chapter XII of the first Notebook of Srinivasa Ramanujan is pr...
AbstractUsing a simple method, numerous summation formulas for hypergeometric and basic hypergeometr...
International audienceIn Chapter VI of his second Notebook Ramanujan introduce the Euler-MacLaurin f...
International audienceIn Chapter VI of his second Notebook Ramanujan introduce the Euler-MacLaurin f...
101 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2005.In Chapters 4 and 5, we apply...
The main contribution of this paper is to propose a closed expression for the Ramanujan constant of ...
AbstractA consideration of odd and even terms of hypergeometric series of higher order leads to new ...
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