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William Harold Paulsen, 2020. [1]
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References
- ↑ 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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