Closed Form Representation of Binomial Sums and Series

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Sofo, Anthony (1999) Closed Form Representation of Binomial Sums and Series. RGMIA research report collection, 2 (6).


This paper deals with the classical quest for 'closed form' expressions of series. Identities are important in mathematics; we shall consider a generalised Binomial sum and some relations and investigate several methods for its representation in closed form. In the process of our analysis we shall 'discover' several new identities.

Item type Article
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords closed form, generalised binomial sum, identity representation, residue theory, contour integration
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