Back to Search Start Over

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

Authors :
Masahiko Ito
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