Raphael Schumacher
Abstract
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This paper presents a family of rapidly convergent summation formulas for various finite sums of the form $\sum_{k=0}^{\lfloor x\rfloor}f(k)$, where $x$ is a positive real number.
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This paper presents a family of rapidly convergent summation formulas for various finite sums of the form $\sum_{k=0}^{\lfloor x\rfloor}f(k)$, where $x$ is a positive real number.
Key concepts: Extension (predicate logic), Stirling engine, Series (stratigraphy), Stirling numbers of the first kind, Mathematics, Stirling numbers of the second kind, Stirling number, Algebra over a field