AbstractThree results from the unorganized pages of Ramanujan's second notebook are proved. The results provide asymptotic expansions and approximations for certain integrals and sums. They evince Ramanujan's extraordinary ability to discern beautiful and unexpected relationships
AbstractSimple adaptation of the asymptotic decomposition method enables calculation of an integral ...
International audienceRamanujan's first letter to Hardy states an asymptotic formula for the coeffic...
. We state and prove a claim of Ramanujan. As a consequence, a large new class of Saalschutzian hype...
AbstractThree results from the unorganized pages of Ramanujan's second notebook are proved. The resu...
AbstractThis paper contains a detailed discussion concerning the validity of ∫+∞0ø(x)⧸xxdx= ∑+∞k=−∞ø...
In the last year of his life, while he was dying in India, Ramanujan managed to produce some startli...
After a short recall of the basic asymptotic relations “big O” and “small o”, we consider the Cauchy...
AbstractThe aim of this paper is to improve the Ramanujan formula for approximation the gamma functi...
This centennial tribute commemorates Ramanujan the man and Ramanujan the mathematician. A brief acco...
The large-time behaviour of a large class of solutions to the two-dimensional linear diffusion equat...
Asymptotic Approximations of Integrals deals with the methods used in the asymptotic approximation o...
International audienceWe give a short survey of old and new results in the theory of Ramanujan expan...
On page 45 of his lost notebook, Ramanujan recorded two asymptotic formulas for two continued fracti...
Srinivasa Ramanujan was a brilliant mathematician, considered by George Hardy to be in the same clas...
AbstractIn this letter, the elementary result of Ramanujan for nested roots, also called continued o...
AbstractSimple adaptation of the asymptotic decomposition method enables calculation of an integral ...
International audienceRamanujan's first letter to Hardy states an asymptotic formula for the coeffic...
. We state and prove a claim of Ramanujan. As a consequence, a large new class of Saalschutzian hype...
AbstractThree results from the unorganized pages of Ramanujan's second notebook are proved. The resu...
AbstractThis paper contains a detailed discussion concerning the validity of ∫+∞0ø(x)⧸xxdx= ∑+∞k=−∞ø...
In the last year of his life, while he was dying in India, Ramanujan managed to produce some startli...
After a short recall of the basic asymptotic relations “big O” and “small o”, we consider the Cauchy...
AbstractThe aim of this paper is to improve the Ramanujan formula for approximation the gamma functi...
This centennial tribute commemorates Ramanujan the man and Ramanujan the mathematician. A brief acco...
The large-time behaviour of a large class of solutions to the two-dimensional linear diffusion equat...
Asymptotic Approximations of Integrals deals with the methods used in the asymptotic approximation o...
International audienceWe give a short survey of old and new results in the theory of Ramanujan expan...
On page 45 of his lost notebook, Ramanujan recorded two asymptotic formulas for two continued fracti...
Srinivasa Ramanujan was a brilliant mathematician, considered by George Hardy to be in the same clas...
AbstractIn this letter, the elementary result of Ramanujan for nested roots, also called continued o...
AbstractSimple adaptation of the asymptotic decomposition method enables calculation of an integral ...
International audienceRamanujan's first letter to Hardy states an asymptotic formula for the coeffic...
. We state and prove a claim of Ramanujan. As a consequence, a large new class of Saalschutzian hype...
DOI
Add to ORKG