Bessel Integrals and Fundamental Solutions for a Generalized Tricomi Operator

Details Bessel Integrals and Fundamental Solutions for a Generalized Tricomi Operator Bessel Integrals and Fundamental Solutions for a Generalized Tricomi Operator

2001-01-08

arxiv.org/abs/math/0101065v1

Mathematics

Classical Analysis and ODEs

Scientific paper

Partial Fourier transforms are 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 operator. In order
to prove these results, we establish explicit formulas for Fourier transforms
of some type of Bessel functions.

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