A product formula for Jackson integral associated with the root system \(F_4\)

DOI10.1023/A:1019711531212zbMath1070.33018MaRDI QIDQ1850935

Masahiko Ito

Publication date: 15 December 2002

Published in: The Ramanujan Journal (Search for Journal in Brave)

zbMATH Keywords

Jackson integralAskey-Wilson integralroot system of type \(F_4\)very-well-poised \({}_6\psi_6\) sum

Mathematics Subject Classification ID

Basic hypergeometric integrals and functions defined by them (33D60) Basic hypergeometric functions associated with root systems (33D67)

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Nonterminating q-Whipple Transformations for Basic Hypergeometric Series in U(n) ⋮ Askey-Wilson type integrals associated with root systems ⋮ 3d exceptional gauge theories and boundary confinement ⋮ New multiple \(_{6} \psi _{6}\) summation formulas and related conjectures ⋮ Convergence and asymptotic behavior of Jackson integrals associated with irreducible reduced root systems. ⋮ Bailey type summation formulas associated with the root system \(F_4^{\lor}\) ⋮ A new multivariable \(_{6 } \psi _{6 }\) summation formula ⋮ \(q\)-difference shift for a \(BC_{n}\)-type Jackson integral arising from `elementary' symmetric polynomials