AbstractWe undertake a thorough investigation of the moments of Ramanujanʼs alternative elliptic integrals and of related hypergeometric functions. Along the way we are able to give some surprising closed forms for Catalan-related constants and various new hypergeometric identities
We show how various modular identities due to Ramanujan may be used to produce simple high order app...
General theory of elliptic hypergeometric series and integrals is outlined. Main attention is paid t...
Abstract: Based on Spiridonov’s analysis of elliptic generalizations of the Gauss hypergeometric fun...
In this paper we provide some relationships between Catalan’s constant and the 3F2 and 4F3 hypergeom...
In this paper we provide some relationships between Catalan’s constant and the 3F2 and 4F3 hypergeom...
In this paper we provide some relationships between Catalan’s constant and the 3F2 and 4F3 hypergeom...
In this paper we provide some relationships between Catalan’s constant and the 3F2 and 4F3 hypergeom...
The main object of this note is to obtain some necessary conditions (in terms of truncated Gaussian ...
In math.QA/0309252, the author proved a number of multivariate elliptic hypergeometric inte...
We establish two recurrence relations for some Clausen’s hypergeometric functions with unit argument...
In math.QA/0309252, the author proved a number of multivariate elliptic hypergeometric inte...
This paper obtains several evaluations of multivariate hypergeometric functions for particular param...
This paper obtains several evaluations of multivariate hypergeometric functions for particular param...
Some of the most interesting of Ramanujan's continued fraction identities are those involving ratio...
AbstractThis is a survey article on the author's involvement over the years with hypergeometric func...
We show how various modular identities due to Ramanujan may be used to produce simple high order app...
General theory of elliptic hypergeometric series and integrals is outlined. Main attention is paid t...
Abstract: Based on Spiridonov’s analysis of elliptic generalizations of the Gauss hypergeometric fun...
In this paper we provide some relationships between Catalan’s constant and the 3F2 and 4F3 hypergeom...
In this paper we provide some relationships between Catalan’s constant and the 3F2 and 4F3 hypergeom...
In this paper we provide some relationships between Catalan’s constant and the 3F2 and 4F3 hypergeom...
In this paper we provide some relationships between Catalan’s constant and the 3F2 and 4F3 hypergeom...
The main object of this note is to obtain some necessary conditions (in terms of truncated Gaussian ...
In math.QA/0309252, the author proved a number of multivariate elliptic hypergeometric inte...
We establish two recurrence relations for some Clausen’s hypergeometric functions with unit argument...
In math.QA/0309252, the author proved a number of multivariate elliptic hypergeometric inte...
This paper obtains several evaluations of multivariate hypergeometric functions for particular param...
This paper obtains several evaluations of multivariate hypergeometric functions for particular param...
Some of the most interesting of Ramanujan's continued fraction identities are those involving ratio...
AbstractThis is a survey article on the author's involvement over the years with hypergeometric func...
We show how various modular identities due to Ramanujan may be used to produce simple high order app...
General theory of elliptic hypergeometric series and integrals is outlined. Main attention is paid t...
Abstract: Based on Spiridonov’s analysis of elliptic generalizations of the Gauss hypergeometric fun...
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