Some expansions in basic Fourier series and related topics

Sergei Suslov

doi:10.1006/jath.2001.3659

Some expansions in basic Fourier series and related topics

Sergei Suslov

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	289-353
Number of pages	65
Journal	Journal of Approximation Theory
Volume	115
Issue number	2
DOIs	https://doi.org/10.1006/jath.2001.3659
State	Published - 2002

Keywords

Basic trigonometric functions
Fourier series
Orthogonality relations
The Bernoulli and Euler polynomials and numbers and their q-extensions
The Riemann zeta function and its q-extension
Trigonometric functions
q-Fourier series

ASJC Scopus subject areas

Analysis
Numerical Analysis
General Mathematics
Applied Mathematics

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10.1006/jath.2001.3659

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abstract = "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.",

keywords = "Basic trigonometric functions, Fourier series, Orthogonality relations, The Bernoulli and Euler polynomials and numbers and their q-extensions, The Riemann zeta function and its q-extension, Trigonometric functions, q-Fourier series",

author = "Sergei Suslov",

note = "Funding Information: 1The author was supported in part by NSF Grant DMS 9803443.",

year = "2002",

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N2 - 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.

AB - 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.

KW - Basic trigonometric functions

KW - Fourier series

KW - Orthogonality relations

KW - The Bernoulli and Euler polynomials and numbers and their q-extensions

KW - The Riemann zeta function and its q-extension

KW - Trigonometric functions

KW - q-Fourier series

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Some expansions in basic Fourier series and related topics

Abstract

Keywords

ASJC Scopus subject areas

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