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Convergence and asymptotic behavior of Jackson integrals associated with irreducible reduced root systems
- Source :
- Journal of Approximation Theory. 124:154-180
- Publication Year :
- 2003
- Publisher :
- Elsevier BV, 2003.
-
Abstract
- For a multivariable q-series called Jackson integral associated with irreducible reduced root systems, a sufficient condition for convergence of it with respect to parameters is given. Its asymptotic behavior as a function of its parameters is studied. For its application, we give another proof of G2-type summation formula investigated by Gustafson in an appendix.
Details
- ISSN :
- 00219045
- Volume :
- 124
- Database :
- OpenAIRE
- Journal :
- Journal of Approximation Theory
- Accession number :
- edsair.doi.dedup.....d267656737b6849f1f11a5ef2f6687a0
- Full Text :
- https://doi.org/10.1016/j.jat.2003.08.006