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• AuTra
  [[File:AuTraMapT.jpg|400px|thumb|\(u\!+\!\mathrm i v= \mathrm{AuTra}(x\!+\!\mathrm i y)\)]] [[File:AuTraPlotT.jpg|200px|thumb|\(y= \mathrm{AuTra}(x)\)]]
  6 KB (1,009 words) - 18:48, 30 July 2019

Page text matches

• Abel function
  [[AuTra]]
  4 KB (547 words) - 23:16, 24 August 2020
• Table of superfunctions
  |\(\mathrm{AuTra}(z)\!=\!\mathrm{AuZex}\! \big(\exp(z)\big)\! \) | [[Trappmann function]], [[SuTra]], [[AuTra]] <ref>
  11 KB (1,565 words) - 18:26, 30 July 2019
• Iteration
  \(~T^n(z)\!=\!\mathrm{tra}^n(z)\!=\! \mathrm{SuTra}\Big(n\!+\!\mathrm{AuTra}(z)\Big)~\) <!--[[Henryk function]] SuTra and the [[ArcHenryk function]] AuTra , !-->
  14 KB (2,203 words) - 06:36, 20 July 2020
• Trappmann function
  Name [[SuTra]] is suggested for the [[superfunction]] and name [[AuTra]] is suggested for the [[Abel function]]. ...ties of function '''Tra''' is described, and properties of [[SuTra]] and [[AuTra]] are mentioned.
  9 KB (1,320 words) - 11:38, 20 July 2020
• SuTra
  The inverse function of SuTra, id est, [[AuTra]]\(=\)SuTra\(^{-1}\), satisfies the [[Abel equation]] \(\mathrm{AuTra}(\mathrm{tra}(z))=\mathrm{AuTra}(z) + 1\)
  9 KB (1,285 words) - 18:25, 30 July 2019
• ArcTra
  ...he Trappmann function [[tra]]\((z)=z+\mathrm e^z\). The inverse function [[AuTra]], id est, the [[Abel function]] for Trappmann function, requires the ArcTr ...ArcTra. In order to perform the numerical check of the conjectures about [[AuTra]], the efficient (fast, robust and precise) implementation of [[ArcTra]] is
  10 KB (1,442 words) - 18:47, 30 July 2019
• AuTra
  [[File:AuTraMapT.jpg|400px|thumb|\(u\!+\!\mathrm i v= \mathrm{AuTra}(x\!+\!\mathrm i y)\)]] [[File:AuTraPlotT.jpg|200px|thumb|\(y= \mathrm{AuTra}(x)\)]]
  6 KB (1,009 words) - 18:48, 30 July 2019
• AuTra.cin
  // [[AuTra.cin]] is [[C++]] implementation of function [[AuTra]], id est, the [[Abel function]] dor the [[Trappmann function]] z_type autra(z_type z) { DB x,y,t; x=Re(z); y=fabs(Im(z));
  1 KB (197 words) - 15:03, 20 June 2013
• AuSin
  The map of approximation of AuTra with the truncated expansion with 40 terms is shown in the figure that is n
  5 KB (761 words) - 18:48, 30 July 2019
• Special function
  [[AuTra]],
  7 KB (991 words) - 18:48, 30 July 2019
• Суперфункции
  ...rm{AuTra}(z)\) убывает экспоненциально || \(|\mathrm{AuTra}(z)|\) растёт экспоненциально ...athrm{AuTra}(z)\Big)\) || \(\mathrm{tra}^n(z)=\mathrm{SuTra}\Big(n+\mathrm{AuTra}(z)\Big)\)
  19 KB (1,132 words) - 20:36, 16 July 2023