Hypergeometric functions and the Tricomi operator
We show how certain hypergeometric functions play an important role in finding fundamental solutions for a generalized Tricomi operator.
math.AP↗
arXiv subjects
J. Barros-Neto
Publications and source records attributed to J. Barros-Neto.
Fundamental Solutions for the Tricomi Operator, II
We explicitly calculate fundamental solutions for the Tricomi operator relative to a point in the hyperbolic region and show that these solutions originate from the hypergeometric function F(1/6,1/6;1;z).
math.AP↗
Bessel Integrals and Fundamental Solutions for a Generalized Tricomi Operator
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.
math.CA↗