Displaying similar documents to “Laguerre series and the Cauchy integral representation”

Generalized poly-Cauchy polynomials and their interpolating functions

Takao Komatsu, Florian Luca, Claudio de J. Pita Ruiz V. (2014)

Colloquium Mathematicae

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We give a generalization of poly-Cauchy polynomials and investigate their arithmetical and combinatorial properties. We also study the zeta functions which interpolate the generalized poly-Cauchy polynomials.

The Kneser property for the abstract Cauchy problem

Hernán R. Henríquez, Genaro Castillo G. (2003)

Annales Polonici Mathematici

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We establish existence of mild solutions for the semilinear first order functional abstract Cauchy problem and we prove that the set of mild solutions of this problem is connected in the space of continuous functions.