AbstractThis is a survey article on the author's involvement over the years with hypergeometric functions. We discuss our counter-example to one of M. Robertson's conjectures, our results on the omitted values problems, Brannan's conjecture on the coefficients of a certain power series, generalizations of Ramanujan's asymptotic formulas for complete elliptic integrals and Muir's 1883 approximation to the arc length of an ellipse involving an inequality for some 3F2's
AbstractWe undertake a thorough investigation of the moments of Ramanujanʼs alternative elliptic int...
A series expansion for Heckman-Opdam hypergeometric functions phi(lambda) is obtained for all lambda...
AbstractThis note presents generalizations of certain reduction formulas for the hypergeometric func...
. We state and prove a claim of Ramanujan. As a consequence, a large new class of Saalschutzian hype...
The main goal of this survey is to give common characteristics of auxiliary hypergeometric functions...
The main object of this note is to obtain some necessary conditions (in terms of truncated Gaussian ...
General theory of elliptic hypergeometric series and integrals is outlined. Main attention is paid t...
This paper obtains several evaluations of multivariate hypergeometric functions for particular param...
This paper obtains several evaluations of multivariate hypergeometric functions for particular param...
In math.QA/0309252, the author proved a number of multivariate elliptic hypergeometric inte...
In math.QA/0309252, the author proved a number of multivariate elliptic hypergeometric inte...
Some of the functions mentioned in a recent paper may be expressed in terms of known functions
Some of the functions mentioned in a recent paper may be expressed in terms of known functions
On the basis of a joint work with Masahiko Ito, I report some recent progresses in the study of elli...
A series expansion for Heckman-Opdam hypergeometric functions phi(lambda) is obtained for all lambda...
AbstractWe undertake a thorough investigation of the moments of Ramanujanʼs alternative elliptic int...
A series expansion for Heckman-Opdam hypergeometric functions phi(lambda) is obtained for all lambda...
AbstractThis note presents generalizations of certain reduction formulas for the hypergeometric func...
. We state and prove a claim of Ramanujan. As a consequence, a large new class of Saalschutzian hype...
The main goal of this survey is to give common characteristics of auxiliary hypergeometric functions...
The main object of this note is to obtain some necessary conditions (in terms of truncated Gaussian ...
General theory of elliptic hypergeometric series and integrals is outlined. Main attention is paid t...
This paper obtains several evaluations of multivariate hypergeometric functions for particular param...
This paper obtains several evaluations of multivariate hypergeometric functions for particular param...
In math.QA/0309252, the author proved a number of multivariate elliptic hypergeometric inte...
In math.QA/0309252, the author proved a number of multivariate elliptic hypergeometric inte...
Some of the functions mentioned in a recent paper may be expressed in terms of known functions
Some of the functions mentioned in a recent paper may be expressed in terms of known functions
On the basis of a joint work with Masahiko Ito, I report some recent progresses in the study of elli...
A series expansion for Heckman-Opdam hypergeometric functions phi(lambda) is obtained for all lambda...
AbstractWe undertake a thorough investigation of the moments of Ramanujanʼs alternative elliptic int...
A series expansion for Heckman-Opdam hypergeometric functions phi(lambda) is obtained for all lambda...
AbstractThis note presents generalizations of certain reduction formulas for the hypergeometric func...
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