title: |
Reflection Symmetries of q-Bernoulli Polynomials |
|
publication: |
||
| volume-issue: | 12 - Supplement 1 | |
| pages: | 412 - 422 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2005.12.s1.34 (how to use a DOI) | |
author(s): |
Boris A KUPERSHMIDT |
|
publication date: |
January 2005 |
|
abstract: |
A large part of the theory of classical Bernoulli polynomials Bn(x)'s follows from
their reflection symmetry around x = 1/2: Bn(1 - x) = (-1)n
Bn(x). This symmetry
not only survives quantization but has two equivalent forms, classical and quantum,
depending upon whether one reflects around 1/2 the classical x or quantum [x]q. |
|
copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
|
full text: |