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[[William Harold Paulsen]], 2020.

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https://www.researchgate.net/publication/325532999_Tetration_for_complex_bases

Tetration for complex bases

Article (PDF Available) in Advances in Computational Mathematics · June 2018 with 201 Reads 

DOI: 10.1007/s10444-018-9615-7

Cite this publication

William Harold Paulsen

16.23 Arkansas State University - Jonesboro

Abstract

In this paper we will consider the tetration, defined by the equation F(z+1)=bF(z) in the complex plane with F(0)=1, for the case where b is complex. A previous paper determined conditions for a unique solution the case where b is real and b > e1/e. In this paper we extend these results to find conditions which determine a unique solution for complex bases. We also develop iteration methods for numerically approximating the function F(z), both for bases inside and outside the [[Shell-Thron region]].

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==References==

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[[Category:Arkanzas]]

[[Category:Book]]

[[Category:Shell-Thron region]]

[[Category:Tetration]]

[[Category:USA]]

[[Category:William Paulsen]]