Reflection symmetries of q-bernoulli polynomials

被引：3

作者：

Kupershmidt B.A. ^{[1
]}

机构：

[1] University of Tennessee, Space Institute, Tullahoma

来源：

Journal of Nonlinear Mathematical Physics | 2005年 / 12卷 / Suppl 1期

关键词：

D O I：

10.2991/jnmp.2005.12.s1.34

中图分类号：

学科分类号：

摘要：

A large part of the theory of classical Bernoulli polynomials B n(x)'s follows from their reflection symmetry around x = 1/2: B n(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.

引用

页码：412 / 422

页数：10

共 7 条

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