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Some Expansions in Basic Fourier Series and Related Topics |
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| Authors: | Sergei K Suslov |
| Institution: | Department of Mathematics, Arizona State University, Tempe, Arizona, 85287-1804, U.S.A.f1 |
| 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: | 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 |
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