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Bessel Integrals and Fundamental Solutions for a Generalized Tricomi Operator

✍ Scribed by J. Barros-Neto; Fernando Cardoso

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 195 KB
Volume: 183
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.2001.3749

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✦ Synopsis

The method of partial Fourier transform is used to find explicit formulas for two remarkable fundamental solutions for a generalized Tricomi operator. These fundamental solutions reflect clearly the mixed type of the Tricomi operator. In proving these results, we establish explicit formulas for Fourier transforms of some functions involving Bessel functions.

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