A First Order $q$-Difference System for the $BC_1$-Type Jackson Integral and Its Applications

Details A First Order $q$-Difference System for the $BC_1$-Type Jackson Integral and Its Applications A First Order $q$-Difference System for the $BC_1$-Type Jackson Integral and Its Applications

2009-04-03

arxiv.org/abs/0904.0561v1

SIGMA 5 (2009), 041, 14 pages

Mathematics

Classical Analysis and ODEs

Scientific paper

10.3842/SIGMA.2009.041

We present an explicit expression for the $q$-difference system, which the $BC_1$-type Jackson integral ($q$-series) satisfies, as first order simultaneous $q$-difference equations with a concrete basis. As an application, we give a simple proof for the hypergeometric summation formula introduced by Gustafson and the product formula of the $q$-integral introduced by Nassrallah-Rahman and Gustafson.

Affiliated with

Also associated with

No associations

Rating

A First Order $q$-Difference System for the $BC_1$-Type Jackson Integral and Its Applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A First Order $q$-Difference System for the $BC_1$-Type Jackson Integral and Its Applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A First Order $q$-Difference System for the $BC_1$-Type Jackson Integral and Its Applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-150740