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Applied Mathematics 2011
Umbral Methods, Combinatorial Identities and Harmonic NumbersKeywords: Umbral, Identities, Calculus, Harmonic Numbers Abstract: We analyse and demonstrate how umbral methods can be applied for the study of the problems, involving combinatorial calculus and harmonic numbers. We demonstrate their efficiency and we find the general procedure to frame new and existent identities within a unified framework, amenable of further generalizations.
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