File:Expe1emapT1000.jpg
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Complex map of exponential to base e1e, \(b\!=\!\exp(1/\mathrm e)\):
\[ u+\mathrm i v = \exp_b(x+\mathrm i y) \]
This map is used as Fig.10.2 at page 118 of book «Superfunctions», 2020 [1][2] in order to remind that exponential is periodic function. and explain better which function is treated as Transfer function.
References
- ↑ https://www.amazon.co.jp/Superfunctions-Non-integer-holomorphic-functions-superfunctions/dp/6202672862 Dmitrii Kouznetsov. Superfunctions: Non-integer iterates of holomorphic functions. Tetration and other superfunctions. Formulas,algorithms,tables,graphics - 2020/7/28
- ↑ https://mizugadro.mydns.jp/BOOK/468.pdf Dmitrii Kouznetsov (2020). Superfunctions: Non-integer iterates of holomorphic functions. Tetration and other superfunctions. Formulas, algorithms, tables, graphics. Publisher: Lambert Academic Publishing.
Keywords
«Base e1e», «Exotic iterations», «Fixed pount», «Regular iteraiton», «Superfunctions», «Transfer function»,
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| current | 06:12, 1 December 2018 | | 2,361 × 2,333 (1.35 MB) | Maintenance script (talk | contribs) | Importing image file |
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