Resumen de Hypergeometric functions and Tricomi operators: pole in the elliptic region

J. Barros Neto, Fernando Cardoso

• In this paper we obtain fundamental solutions for a class of operators of the form 12Δx,s+αs∂∂s,α∈C∖{0}.

  These include generalizations of the classical Tricomi operator as well as the Laplace–Beltrami operator on a manifold with a suitable metric. Our results are then used to obtain explicit formulas for fundamental solutions of generalized Tricomi operators.