symmetry classification for jackson integrals associated with the root system bc n
Copyright policy )symmetry classification for jackson integrals associated with the root system bc n
Summary: The Jackson integrals associated with the non-reduced root system are defined as multiple sums which are generalization of the Bailey's very-well-poised \({}_6\psi_6\) sum. They are classified by the number of their parameters when they can be expressed as a product of the Jacobi elliptic theta functions. The sums which appear in the classification list coincide with those investigated individually by \textit{R. A. Gustafson} [Ramanujan International Symposium on Analysis (Pune, 1987), Macmillan of India, New Delhi, 185--224 (1989)] and \textit{J. F. van Diejen} [Publ. Res. Inst. Math. Sci. 33, No. 3, 483--508 (1997; Zbl 0894.33007)].
Jackson integrals, non-reduced root system, Bailey's very-well-poised \(_6\psi _6\) sum, van Diejen's \(BC_n\)-type sum., Gustafson's \(C_n\)-type sum, Basic hypergeometric functions associated with root systems
Jackson integrals, non-reduced root system, Bailey's very-well-poised \(_6\psi _6\) sum, van Diejen's \(BC_n\)-type sum., Gustafson's \(C_n\)-type sum, Basic hypergeometric functions associated with root systems
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