Basic Analog of Fourier Series on a q-Linear Grid: Volume 112, Number 1 (2001), pages 134–157

✍ Scribed by J. Bustoz; J.L. Cardoso

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 39 KB
Volume: 113
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.2001.3648

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📜 SIMILAR VOLUMES

Basic Analog of Fourier Series on a q-Li

Basic Analog of Fourier Series on a q-Linear Grid

✍ J. Bustoz; J.L. Cardoso 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 159 KB

For 0 < q < 1 define the symmetric q-linear operator acting on a suitable function f(x) by df(x)=f(q 1/2 x) -f(q -1/2 x). The q-linear initial value problem df(x) dx = lf(x), f(0)=1, has two entire functions C q (z) and S q (z) as linearly independent solutions. The functions C q (z) and S q (z) are