Some Remarks on the Self-Exponential Function: Minimum Value, Inverse Function, and Indefinite Integral

J. L. González-Santander and G. Martín

International Journal of Analysis, 2014, vol. 2014, 1-7

Abstract:

Considering the function as a real function of real variable, what is its minimum value? Surprisingly, the minimum value is reached for a negative value of . Furthermore, considering the function , and , two different expressions in closed form for the inverse function can be obtained. Also, two different series expansions for the indefinite integral of and are derived. The latter does not seem to be found in the literature.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:195329

DOI: 10.1155/2014/195329

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