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Title :A determinant formula associated with the elliptic hypergeometric integrals of type BCn
Authors :Ito, Masahiko
Noumi, Masatoshi
Issue Date :25-Jul-2019
Abstract :We establish a determinant formula for the bilinear form associated with the elliptic hypergeometric integrals of type BCn by studying the structure of q-difference equations to be satisfied by them. The determinant formula is proved by combining the q-difference equations of the determinant and its asymptotic analysis along the singularities. The elliptic interpolation functions of type BCn are essentially used in the study of the q-difference equations.
URL :https://aip.scitation.org/doi/10.1063/1.5094116
Type Local :雑誌掲載論文
Publisher :American Institute of Physics
URI :http://hdl.handle.net/20.500.12000/47406
Citation :Journal of Mathematical Physics no.60 p.1 -31
Appears in Collections:Peer-reviewed Journal Articles (Faculty of Science)

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