Convergence and asymptotic behavior of Jackson integrals associated with irreducible reduced root systems.

DOI10.1016/j.jat.2003.08.006zbMath1066.33011OpenAlexW1985163180MaRDI QIDQ1421499

Masahiko Ito

Publication date: 26 January 2004

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2003.08.006

Mathematics Subject Classification ID

Orthogonal polynomials and functions associated with root systems (33C52)

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Cites Work

• On elliptic product formulas for Jackson integrals associated with reduced root systems
• On certain multiple Bailey, Rogers and Dougall type summation formulas
• On a theta product formula for Jackson integrals associated with root systems of rank two
• Double affine Hecke algebras and Macdonald's conjectures
• A product formula for Jackson integral associated with the root system \(F_4\)
• A Proof of the Macdonald–Morris Root System Conjecture for $F_4 $
• An $SU(n)$q-Beta Integral Transformation and Multiple Hypergeometric Series Identities
• A Summation Theorem for Hypergeometric Series Very-Well-Poised on $G_2 $
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