Advances in Differential Equations

Hypergeometric functions and the Tricomi operator

J. Barros-Neto and Fernando Cardoso

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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

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

First available in Project Euclid: 18 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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]


Barros-Neto, J.; Cardoso, Fernando. Hypergeometric functions and the Tricomi operator. Adv. Differential Equations 10 (2005), no. 4, 445--461.

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