Extension of Summation Formulas involving Stirling series

Abstract

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.

References in corpus (1)

• Rapidly Convergent Summation Formulas involving Stirling Series

Cited by in corpus (1)

• The Generalization of Faulhaber's Formula to Sums of Arbitrary Complex Powers