We prove a novel type of inversion formula for elliptic hypergeometric integrals associated to a pair of root systems. Using the (A,C) inversion formula to invert one of the known C-type elliptic beta integrals, we obtain a new elliptic beta integral for the root system of type A. Validity of this integral is established by a different method as well
The literature has an astonishingly large number of integral formulae involving a range of special f...
The literature has an astonishingly large number of integral formulae involving a range of special f...
On the basis of a joint work with Masahiko Ito, I report some recent progresses in the study of elli...
AbstractWe prove a novel type of inversion formula for elliptic hypergeometric integrals associated ...
Abstract. We prove a novel type of inversion formula for elliptic hypergeo-metric integrals associat...
AbstractWe prove a novel type of inversion formula for elliptic hypergeometric integrals associated ...
We give a survey of elliptic hypergeometric functions associated with root systems, comprised of thr...
AbstractWe derive a number of summation and transformation formulas for elliptic hypergeometric seri...
General theory of elliptic hypergeometric series and integrals is outlined. Main attention is paid t...
We prove a pair of transformations relating elliptic hypergeometric integrals of different ...
We prove a pair of transformations relating elliptic hypergeometric integrals of different ...
We prove a pair of transformations relating elliptic hypergeometric integrals of different dimension...
Reprint from Transactions of the American Mathematical Society, v. 2, no. 4 (Oct. 1901).Autobiograph...
AbstractIn previous paper [Ann. Comb. 4 (2000) 347–373], we established and proved two new q-beta in...
AbstractWe derive a number of summation and transformation formulas for elliptic hypergeometric seri...
The literature has an astonishingly large number of integral formulae involving a range of special f...
The literature has an astonishingly large number of integral formulae involving a range of special f...
On the basis of a joint work with Masahiko Ito, I report some recent progresses in the study of elli...
AbstractWe prove a novel type of inversion formula for elliptic hypergeometric integrals associated ...
Abstract. We prove a novel type of inversion formula for elliptic hypergeo-metric integrals associat...
AbstractWe prove a novel type of inversion formula for elliptic hypergeometric integrals associated ...
We give a survey of elliptic hypergeometric functions associated with root systems, comprised of thr...
AbstractWe derive a number of summation and transformation formulas for elliptic hypergeometric seri...
General theory of elliptic hypergeometric series and integrals is outlined. Main attention is paid t...
We prove a pair of transformations relating elliptic hypergeometric integrals of different ...
We prove a pair of transformations relating elliptic hypergeometric integrals of different ...
We prove a pair of transformations relating elliptic hypergeometric integrals of different dimension...
Reprint from Transactions of the American Mathematical Society, v. 2, no. 4 (Oct. 1901).Autobiograph...
AbstractIn previous paper [Ann. Comb. 4 (2000) 347–373], we established and proved two new q-beta in...
AbstractWe derive a number of summation and transformation formulas for elliptic hypergeometric seri...
The literature has an astonishingly large number of integral formulae involving a range of special f...
The literature has an astonishingly large number of integral formulae involving a range of special f...
On the basis of a joint work with Masahiko Ito, I report some recent progresses in the study of elli...