On elliptic product formulas for Jackson integrals associated with reduced root systems (Q1272892)
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scientific article; zbMATH DE number 1228563
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On elliptic product formulas for Jackson integrals associated with reduced root systems |
scientific article; zbMATH DE number 1228563 |
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On elliptic product formulas for Jackson integrals associated with reduced root systems (English)
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7 March 1999
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Some product formulas for Jackson integrals involved in elliptic theta functions are obtained. These formulas are established for arbitrary root systems by extending the previous results in the case of \(A\)-type root system. The results are compared with those of Cherednik and Kadell and with the Askey-Habsieger-Kadell \(q\)-Selberg integral formula. The cases of \(B_n\), \(C_n\), \(D_n\), \(G_2\), \(F_4\) and \(E_6\sim E_8\) type root systems are investigated in detail.
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theta function
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product formula
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Jackson integrals
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root system
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