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• Kneser expansion
  [[Kneser expansion]] is asymptotic representation of superexponential constructed at http://www.digizeitschriften.de/dms/img/?PPN=GDZPPN002175851 H.Kneser. Reelle analytische Lösungen der Gleichung φ(φ(x))=ex. Equationes Mathem
  2 KB (325 words) - 22:50, 15 August 2020
• Hellmuth Kneser
  [[File:Hellmuth-Kneser.jpg|200px]]<small> [[Hellmuth Kneser]], 1930
  12 KB (1,732 words) - 14:01, 12 August 2020
• Kneser function
  [[Complex map]] of the [[Kneser function]] : \(u\!+\!\mathrm i v=\mathrm{Kneser}(x\!+\!\mathrm i y) \) ...lot]] of [[exp]] and that of the [[Kneser function]] ; [[Hellmuth Kneser|H.Kneser]]
  3 KB (356 words) - 16:33, 7 January 2020

Page text matches

• Tetration
  ...zations of the super-exponentials and the Abel–exponential by [[Hellmuth Kneser]] <ref name="kneser">
  21 KB (3,175 words) - 23:37, 2 May 2021
• Superfunction
  [[Hellmuth Kneser]], 1958 <ref> https://opc.mfo.de/detail?photo_id=7607 On the Photo: Kneser, Hellmuth Location: Oberwolfach Author: Danzer, Ludwig (photos provided by
  25 KB (3,622 words) - 08:35, 3 May 2021
• Square root of factorial
  ===Kneser and the pre-historic mathematicians=== ...to the year 1950, already has certain achievements in this area <ref name="kneser">
  13 KB (1,766 words) - 18:43, 30 July 2019
• ArcTetration
  ...function \( \varphi \) mentioned in the title of publication by [[Hellmuth Kneser]] [[Hellmuth Kneser]]. Reelle analytische Lösungen der Gleichung \( \varphi(\varphi(x))=\mathr
  7 KB (1,091 words) - 23:03, 30 November 2019
• Square root of exponential
  ...olutions of equation (1). Some of them are considered in y.1950 by Helmuth Kneser <ref name="kneser">
  5 KB (750 words) - 18:25, 30 July 2019
• Iteration
  ...rivial, but solvable problem. It had been formulated in 1950 by [[Hellmuth Kneser]] H.Kneser. "Reelle analytische Loesungen der Gleichung \(\phi(\phi(x))=\mathrm e^x\)
  14 KB (2,203 words) - 06:36, 20 July 2020
• Natural tetration
  [[Hellmuth Kneser|H.Kneser]],1958<ref> Kneser, Hellmuth
  14 KB (1,972 words) - 02:22, 27 June 2020
• Zooming equation
  ...of exponent, in particular, its iterate half, had been reported by Helmuth Kneser in 1950, and in 2011, the solution through the [[Cauchi integral]] and the http://tori.ils.uec.ac.jp/PAPERS/Relle.pdf Helmuth Kneser Reelle analytische L¨osungen der Gleichung
  10 KB (1,627 words) - 18:26, 30 July 2019
• Kneser expansion
  [[Kneser expansion]] is asymptotic representation of superexponential constructed at http://www.digizeitschriften.de/dms/img/?PPN=GDZPPN002175851 H.Kneser. Reelle analytische Lösungen der Gleichung φ(φ(x))=ex. Equationes Mathem
  2 KB (325 words) - 22:50, 15 August 2020
• Суперфункция
  http://mizugadro.mydns.jp/PAPERS/Relle.pdf Helmuth Kneser Reelle analytische L¨osungen der Gleichung \(\varphi(\varphi(x))=e^x\) und
  8 KB (260 words) - 18:36, 30 July 2019
• Nemtsov function and its iterates
  Helmuth Kneser. Reelle analytische Lösungen der Gleichung
  15 KB (2,392 words) - 11:05, 20 July 2020
• Hellmuth Kneser
  [[File:Hellmuth-Kneser.jpg|200px]]<small> [[Hellmuth Kneser]], 1930
  12 KB (1,732 words) - 14:01, 12 August 2020

• File:Hellmuth-Kneser.jpg [[Hellmuth Kneser]], 1930 https://commons.wikimedia.org/wiki/File:Hellmuth-Kneser.jpg (286 × 400 (17 KB)) - 21:18, 30 November 2019

• File:HellmuthKneserPhotoNormal.jpeg [[Hellmuth Kneser]], 1958, by L. Danzer, Dortmund. Kneser, Hellmuth (266 × 399 (22 KB)) - 21:20, 30 November 2019

• File:Qexpmap.jpg Existence of this function is shown in 1950 by [[Hellmuth Kneser]] ...eitschriften.de/dms/img/?PID=GDZPPN002175851&physid=phys63#navi [[Hellmuth Kneser]]. Reelle analytische Lösungen der Gleichung \( φ(φ(x))=e^x \) und verwa (682 × 706 (152 KB)) - 02:19, 27 June 2020

• File:Knesermap.jpg The [[Kneser function]] is implemented as follows [[Hellmuth Kneser]]. Reelle analytische Lösungen der Gleichung \( \varphi(\varphi(x))=\mathr (2,352 × 2,316 (1.55 MB)) - 06:42, 1 January 2020

• File:Kneserplot.png \( \varphi=\mathrm{Kneser}=\exp^{1/2} \) The [[Kneser function]] is implemented through the natural [[tetration]] [[tet]] and the (1,798 × 1,347 (185 KB)) - 07:43, 1 January 2020

• Kneser function
  [[Complex map]] of the [[Kneser function]] : \(u\!+\!\mathrm i v=\mathrm{Kneser}(x\!+\!\mathrm i y) \) ...lot]] of [[exp]] and that of the [[Kneser function]] ; [[Hellmuth Kneser|H.Kneser]]
  3 KB (356 words) - 16:33, 7 January 2020

• File:HellmuthKneserPhotoNormalFragmen.jpg [[Hellmuth Kneser]], 1958, by L. Danzer, Dortmund. Kneser, Hellmuth (179 × 455 (17 KB)) - 15:41, 7 January 2020

• File:Tet2uMap.jpg The [[Kneser expansion]] is used for the implementation. The following approximation for the [[Kneser parameter]] is used: (1,729 × 1,120 (526 KB)) - 07:21, 24 July 2020

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