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    Revista Colombiana de Matemáticas
    Volumen 30 [ 1] ( 1996) Páginas 25-47


    Differential equations associated to algebraic functions and their solutions

    Carlos Pabst
    Universidad de Valparaíso, CHILE

    Raúl Naulin
    Universidad de Oriente, Cumaná, VENEZUELA


    Abstract. A method to find the general solution of algebraic equations, including the quintic, is presented. The procedure is essentially based on the analytical properties of the algebraic functions and leads to the solution of certain linear differential equations that these functions must satisfy.

    Palabras claves. Tschrinhaus transformation, discriminant of a polynomial, entire function, branch and algebraic branch point, generalized hypergeometric functions.

    Codigo AMS. 1991 Primary 30. Secondary C15.