Some Expansions in Basic Fourier Series and Related Topics

✍ Scribed by Sergei K. Suslov

• Book ID: 102576035
• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 323 KB
• Volume: 115
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1006/jath.2001.3659

✦ Synopsis

We consider explicit expansions of some elementary and q-functions in basic Fourier series introduced recently by Bustoz and Suslov. Natural q-extensions of the Bernoulli and Euler polynomials, numbers, and the Riemann zeta function are discussed as a by-product.