Title

Integration Identities For Some Iterated Exponentials Of Order Three

Keywords

Iterated exponentials; Power tower; Sophomore's dream; Tetrations

Abstract

Inspired by the well-known elegant result for the integral of the power tower of length two xx, namely (first attributed to Johann Bernoulli, and commonly referred to as the "sophomore's dream" in present day literature [1]), we present a number of identities for power towers of length three.

Publication Date

9-30-2010

Publication Title

International Journal of Mathematical Analysis

Volume

4

Issue

29-32

Number of Pages

1469-1471

Document Type

Article

Personal Identifier

scopus

Socpus ID

77957099733 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/77957099733

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