30 citations · 70 across the 8 of their papers we have counts for
8 papers
The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials
Saburo Kakei, Michitomo Nishizawa, Yoshihisa Saito +1
We construct special solutions to the rational quantum Knizhnik-Zamolodchikov equation associated with the Lie algebra . The main ingredient is a special class of the shifted…
Infinite Product Representations fot Multiple Gamma Function
Michitomo Nishizawa
Two kinds of infinite product representations for Vignéras multiple gamma function are presented. As an application of these formulas, a multiplication formula for the function is…
Connection formulas for the confluent hypergeometric functions and the functional relation for the Hurwitz zeta function
Michitomo Nishizawa, Kimio Ueno
The functional relation of the Hurwitz zeta function is proved by using the connection problem of the confluent hypergeometric equation.
Integral soluitons of q-difference equations of the hypergeometric type with |q|=1
Michitomo Nishizawa, Kimio Ueno
Two integral solutions of q-difference equations of the hypergeometric type with |q|=1 are constructed by using the double sine function. One is an integral of the Barnes type and…
The multiple gamma functions and the multiple q-gamma functions
Kimio Ueno, Michitomo Nishizawa
We give an asymptotic expansion (the higher Stirling formula) and an infinite product representation (the Weierstrass product representation) of the Vignéras multiple gamma functio…
The multiple gamma function and its q-analogue
Kimio Ueno, Michitomo Nishizawa
We give an asymptotic expansion (the higher Stirling formula) and an infinite product representation (the Weierstrass product formula) of the Vignéras multiple gamma function by co…