A new method for approximating sums by means of complex integration. | [Punjab University Journal of Mathematics • 1995]

Author(s):

1. Hasan M. Ymeri: Higher Technical School, University of Prishtina, 38220 Mitrovice e Titos, Yogoslavia

Abstract:

In this paper we derive a new method for evaluating or approximating sums by means of complex integration. Our result is sufficiently general that it is applicable to a wide variety of functions. We consider examples that illustrate the power of the technique; our first example is an alternative derivation of the Euler-Maclaurin sum formula for the case in which the remainder term vanishes, and our other two examples show how our technique can be applied when the Euler-Maclaurin formula is not useful.

Page(s): 69-82

DOI: DOI not available

Published: Journal: Punjab University Journal of Mathematics, Volume: 28, Issue: , Year: 1995

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