Continuous q-Hermite Polynomials When q > 1
- Richard AskeyAffiliated withDepartment of Mathematics, University of Wisconsin-Madison
The continuous q-Hermite polynomials have a reasonably well known orthogonality relation when — 1 < q < 1. When q > 1 the change of variables x → ix lends to a set of orthogonal polynomials. The same happens for the continuous q-ultraspherical polynomials, but now only finitely many polynomials are orthogonal with respect to a positive measure. A positive measure is found in each of these cases.
- Continuous q-Hermite Polynomials When q > 1
- Book Title
- q-Series and Partitions
- pp 151-158
- Print ISBN
- Online ISBN
- Series Title
- The IMA Volumes in Mathematics and Its Applications
- Series Volume
- Series ISSN
- Springer US
- Copyright Holder
- Springer-Verlag New York Inc.
- Additional Links
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