The Modified q-Bessel Functions and the q-Bessel-Macdonald Functions

Details The Modified q-Bessel Functions and the q-Bessel-Macdonald Functions The Modified q-Bessel Functions and the q-Bessel-Macdonald Functions

1995-09-11

arxiv.org/abs/q-alg/9509013v1

Mathematics

Quantum Algebra

16 pages, latex, no figures

Scientific paper

We define a q-analog of the modified Bessel and Bessel-Macdonald functions. As for the q-Bessel functions of Jackson there is a couple of functions of the both kind. They are arisen in the Harmonic analysis on quantum symmetric spaces similarly to their classical counterpart. Their definition is based on the power expansions. We derive the recurrence relations, difference equations, q-Wronskians, and an analog of asymptotic expansions which turns out is exact in some domain if $q\neq 1$. Some relations for the basic hypergeometric function which follow from this fact are discussed.

Affiliated with

Also associated with

No associations

Rating

The Modified q-Bessel Functions and the q-Bessel-Macdonald Functions 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 The Modified q-Bessel Functions and the q-Bessel-Macdonald Functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Modified q-Bessel Functions and the q-Bessel-Macdonald Functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-52105