Plancherel-Rotach Asymptotics for $q$-Series

Details Plancherel-Rotach Asymptotics for $q$-Series Plancherel-Rotach Asymptotics for $q$-Series

2006-12-08

arxiv.org/abs/math/0612216v2

Mathematics

Classical Analysis and ODEs

71 pages

Scientific paper

In this work we study the Plancherel-Rotach type asymptotics for selected $q$-series and $q$-orthogonal polynomials with complex scalings. The $q$-series we cover are Euler's $q$-exponential, Ramanujan function, Jackson's $q$-Bessel function of second kind, Ismail-Masson orthogonal polynomials, Stieltjes-Wigert polynomials and $q$-Laguerre polynomials. For a fixed $q$ with $0

Affiliated with

Also associated with

No associations

Rating

Plancherel-Rotach Asymptotics for $q$-Series 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 Plancherel-Rotach Asymptotics for $q$-Series, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Plancherel-Rotach Asymptotics for $q$-Series will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-573404