Difference between revisions of "File:William Paulsen.jpg"

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[[William Harold Paulsen]], 2020.
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<ref>
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https://www.researchgate.net/publication/325532999_Tetration_for_complex_bases
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Tetration for complex bases
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Article (PDF Available) in Advances in Computational Mathematics · June 2018 with 201 Reads 
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DOI: 10.1007/s10444-018-9615-7
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Cite this publication
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William Harold Paulsen
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16.23 Arkansas State University - Jonesboro
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Abstract
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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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</ref>
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Original filename:
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https://i1.rgstatic.net/ii/profile.image/697618732683272-1543336675823_Q128/William_Paulsen.jpg
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==References==
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<references/>
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[[Category:Arkanzas]]
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[[Category:Book]]
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[[Category:Shell-Thron region]]
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[[Category:Tetration]]
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[[Category:USA]]
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[[Category:William Paulsen]]

Latest revision as of 06:52, 13 July 2020

William Harold Paulsen, 2020. [1]

Original filename:

https://i1.rgstatic.net/ii/profile.image/697618732683272-1543336675823_Q128/William_Paulsen.jpg

References

  1. 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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