File:Ernst schroeder.jpg

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Portrait of the German logician and mathematician Ernst Schroeder (Ernst Schröder). The photo was taken between 1890 and 1902. [1]

Original filename: https://upload.wikimedia.org/wikipedia/commons/3/34/Ernst_schroeder.jpg

Fragment of this image is used as Fig.6.3 at page 67 of book «Superfunctions» [2][3]
in order to attribute the Schroeder equation:
for Regular iteration, the Schroeder equation appears as analogy of the Transfer equation and the Schroeder function appears as an analogy of the Superfunction.
The pair (Schroederfunction, ArcSchroeder) allows to evaluate the non-integer iterates of the corresponding Transferfunction in the similar way, as it can be done with pair (Superfunction, Abelfunction).

References

  1. https://en.wikipedia.org/wiki/Ernst_Schröder
  2. 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
  3. 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.

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