q-Laguerre polynomials and big q-Bessel functions and their orthogonality relations

Details q-Laguerre polynomials and big q-Bessel functions and their orthogonality relations q-Laguerre polynomials and big q-Bessel functions and their orthogonality relations

1998-05-06

arxiv.org/abs/math/9805023v1

Methods Appl. Anal. 6 (1999), 109-127

Mathematics

Classical Analysis and ODEs

20 pages

Scientific paper

The q-Laguerre polynomials correspond to an indetermined moment problem. For explicit discrete non-N-extremal measures corresponding to Ramanujan's ${}_1\psi_1$-summation we complement the orthogonal q-Laguerre polynomials into an explicit orthogonal basis for the corresponding L^2-space. The dual orthogonal system consists of so-called big q-Bessel functions, which can be obtained as a rigorous limit of the orthogonal system of big q-Jacobi polynomials. Interpretations on the SU(1,1) and E(2) quantum groups are discussed.

Affiliated with

Also associated with

No associations

Rating

q-Laguerre polynomials and big q-Bessel functions and their orthogonality relations 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 q-Laguerre polynomials and big q-Bessel functions and their orthogonality relations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and q-Laguerre polynomials and big q-Bessel functions and their orthogonality relations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-142645