Abstract
In the paper, by virtue of the binomial inversion formula, a general formula of higher order derivatives for a ratio of two differentiable function, and other techniques, the authors compute several sums in terms of the beta function and its partial derivatives, polygamma functions, the Gauss hypergeometric function, and a determinant. These results generalize known ones in combinatorics.
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More From: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A, Matematicas
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