Contiguous relations, basic hypergeometric functions, and orthogonal polynomials : III. associated continuous dual q-Hahn polynomials

Details Contiguous relations, basic hypergeometric functions, and orthogonal polynomials : III. associated continuous dual q-Hahn polynomials Contiguous relations, basic hypergeometric functions, and orthogonal polynomials : III. associated continuous dual q-Hahn polynomials

1994-11-21

arxiv.org/abs/math/9411226v1

Mathematics

Classical Analysis and ODEs

Scientific paper

Explicit solutions for the three-term recurrence satisfied by associated continuous dual $q$-Hahn polynomials are obtained. A minimal solution is identified and an explicit expression for the related continued fraction is derived. The absolutely continuous component of the spectral measure is obtained. Eleven limit cases are discussed in some detail. These include associated big $q$-Laguerre , associated Wall, associated Al-Salam-Chihara, associated Al-Salam-Carlitz I, and associated continuous $q$-Hermite polynomials.

Affiliated with

Also associated with

No associations

Rating

Contiguous relations, basic hypergeometric functions, and orthogonal polynomials : III. associated continuous dual q-Hahn polynomials 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 Contiguous relations, basic hypergeometric functions, and orthogonal polynomials : III. associated continuous dual q-Hahn polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Contiguous relations, basic hypergeometric functions, and orthogonal polynomials : III. associated continuous dual q-Hahn polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-333803