Some expansions in basic Fourier series and related topics

JOURNAL OF APPROXIMATION THEORY

卷:115

Article

Suslov, SK

关键词: trigonometric functions;    basic trigonometric functions;    orthogonality relations;    Fourier series;    q-Fourier series;    the Bernoulli and Euler polynomials and numbers and their q-extensions;    the Riemann zeta function and its q-extension;   

DOI  :  10.1006/jath.2001.3659

来源: Elsevier

【 摘 要 】

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. (C) 2002 Elsevier Science (USA).

【 授权许可】

Free