Reflection Symmetries of q-Bernoulli Polynomials

DOI

10.2991/jnmp.2005.12.s1.34How to use a DOI?

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

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Boris A. Kupershmidt
PY  - 2005
DA  - 2005/01/01
TI  - Reflection Symmetries of q-Bernoulli Polynomials
JO  - Journal of Nonlinear Mathematical Physics
SP  - 412
EP  - 422
VL  - 12
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.s1.34
DO  - 10.2991/jnmp.2005.12.s1.34
ID  - Kupershmidt2005
ER  -