Advances in Differential Equations

Hypergeometric functions and the Tricomi operator

J. Barros-Neto and Fernando Cardoso

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Abstract

In this paper we obtain for a generalized Tricomi operator fundamental solutions entirely supported in the hyperbolic region. Our method is based upon the notion of hypergeometric distributions introduced by S. Delache and J. Leray in [5].

Article information

Source
Adv. Differential Equations Volume 10, Number 4 (2005), 445-461.

Dates
First available in Project Euclid: 18 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355867872

Mathematical Reviews number (MathSciNet)
MR2122697

Zentralblatt MATH identifier
1102.35073

Subjects
Primary: 35M10: Equations of mixed type
Secondary: 35A08: Fundamental solutions 35D05 46F05: Topological linear spaces of test functions, distributions and ultradistributions [See also 46E10, 46E35]

Citation

Barros-Neto, J.; Cardoso, Fernando. Hypergeometric functions and the Tricomi operator. Adv. Differential Equations 10 (2005), no. 4, 445--461. https://projecteuclid.org/euclid.ade/1355867872.


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