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Zeros of Airy Function and Relaxation Process

✍ Scribed by Makoto Katori; Hideki Tanemura

Publisher
Springer
Year
2009
Tongue
English
Weight
719 KB
Volume
136
Category
Article
ISSN
0022-4715

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πŸ“œ SIMILAR VOLUMES

Asymptotic expansions for Riesz fraction
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## Riesz fractional derivatives of a function, D Ξ± x f (x) (also called Riesz potentials), are defined as fractional powers of the Laplacian. Asymptotic expansions for large x are computed for the Riesz fractional derivatives of the Airy function of the first kind, Ai(x), and the Scorer function, G

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Suppose that m(ΞΎ ) is a trigonometric polynomial with period 1 satisfying m(0) = 1 and |m(ΞΎ , is related to the zeros of m(ΞΎ ). In 1995, A. Cohen and R. D. Ryan, "Wavelets and Multiscale Signal Processing," Chapman & Hall, proved that if m(ΞΎ ) has no zeros in [-1 6 , 1 6 ], then Ο•(x) is an orthogon