Some expansions in basic Fourier series and related topics

Authors:
Sergei K. Suslov
Affiliations:
Department of Mathematics, Arizona State University, Tempe, Arizona
Venue:
Journal of Approximation Theory
Year:
2002

Citing 7
Cited 2

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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.