A Survey of Euler's Constant

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The mathematical constant, denoted by , and referred to as Euler's constant, with value approximately 0.5772156, is not nearly as well known as the constants and e, but is still important enough to warrant serious discussion. We present here a variety of instances in mathematics where occurs, and also a number of different expressions (typically involving either an integral, a series, or a limit) that all represent this fascinating number. An extensive reference serves to provide interested readers with alternate sources.

Document Type: Research Article

DOI: http://dx.doi.org/10.4169/193009809X468689

Publication date: October 1, 2009

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