A theta product formula for Jackson integrals associated with root systems

DOI10.3792/pjaa.73.60zbMath0882.33011OpenAlexW2045224215MaRDI QIDQ1364461

Masahiko Ito

Publication date: 15 February 1998

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.73.60

zbMATH Keywords

theta functionroot systemJackson integralq-gamma function

Mathematics Subject Classification ID

(q)-gamma functions, (q)-beta functions and integrals (33D05) Simple, semisimple, reductive (super)algebras (17B20) Basic hypergeometric integrals and functions defined by them (33D60) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80) Other basic hypergeometric functions and integrals in several variables (33D70)

Cites Work

• Unnamed Item
• On elliptic product formulas for Jackson integrals associated with reduced root systems
• On a theta product formula for Jackson integrals associated with root systems of rank two
• q-analogue of de Rham cohomology associated with Jackson integrals. II
• A Proof of Askey’s Conjectured q-Analogue of Selberg’s Integral and a Conjecture of Morris
• Une q-Intégrale de Selberg et Askey
• Some Basic Hypergeometric Extensions of Integrals of Selberg and Andrews
• Multidimensional q-Beta Integrals
• $q$-Selberg integrals and Macdonald polynomials

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