An alternative proof of the Puiseux representation of the exponential integral
Glenn Bruda
TL;DR
This paper presents a new proof of the classical Puiseux representation of the exponential integral, using elementary integral formulas related to the Euler-Mascheroni constant.
Contribution
It offers an alternative, elementary proof of a well-known mathematical representation, expanding understanding of the exponential integral.
Findings
Provides an elementary proof of Puiseux representation
Utilizes integral formulas for Euler-Mascheroni constant
Enhances theoretical understanding of exponential integral
Abstract
Working from definitions and an elementarily obtained integral formula for the Euler-Mascheroni constant, we give an alternative proof of the classical Puiseux representation of the exponential integral.
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Taxonomy
TopicsMathematics and Applications