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• File:Sqrt2q2map600.jpg [[Complex map]] of the half iterate of exponent to base $\sqrt{2}$ regular at its lowest fixed point. $u\!+\!\mathrm i v= \exp_{\sqrt{2},\mathrm d}^{~ 1/2}(x\!+\!\mathrm i y)$ (1,766 × 1,750 (1.43 MB)) - 08:52, 1 December 2018

• File:Sqrt2srav.png ...half iterate of exponent to base \( \sqrt{2} \) constructed at fixed point 2 and at fixed point 4. \( y=\exp_{\sqrt{2},\mathrm u}^{~1/2}(x) \) , solid line (2,532 × 1,639 (263 KB)) - 10:53, 24 June 2020

• File:Sqrt2sufuplot.png Four superexponentials to base \(b=\sqrt{2}\) \(F_{2,3} \) and (3,520 × 2,507 (408 KB)) - 10:11, 10 June 2022

• File:Sqrt2tetatemap.jpg $\mathrm{tet}_{\sqrt{2}}(\mathrm{ate}_{\sqrt{2}}(z))=z$ and [[arctetration]] to base $\sqrt{2}$ (1,758 × 1,741 (1,008 KB)) - 08:52, 1 December 2018

• File:Sqrt2tetmap.jpg [[Complex map]] of [[tetration]] to base $\sqrt{2}$: $u\!+\!\mathrm i v = \mathrm{tet}_{\sqrt{2}}(x\!+\!\mathrm i y)$ (1,758 × 1,741 (656 KB)) - 08:52, 1 December 2018

• File:Sqrt2uiimap80.jpg [[Complex map]] of iterate number i of exponent to base $\sqrt{2}$ constructed at its upper fixed point 4: $u\!+\!\mathrm i v= \exp_{\sqrt{2},\mathrm u}(x\!+\!\mathrm i y)$ (2,302 × 2,306 (1.84 MB)) - 08:52, 1 December 2018

• File:Tet5loplot.jpg $\mathrm e\!=\!\exp(1)\!\approx\!2.71$ is base of the natural logarithm, $\tau\!\approx\! 1.63532$ is crytical base; at $b\!=\!\tau$, tetration has 2 real fixed points: (1,477 × 1,486 (283 KB)) - 08:53, 1 December 2018

• Base e1e
  ...pg|200px|thumb|Thick green curve: \(y=\eta^x\); thin red curve: \(y=(\sqrt{2})^x\)]] [[Base e1e]] refers to the value of base \(b= \eta =\exp(1/\mathrm e)\approx 1.4446678610\)
  4 KB (559 words) - 17:10, 10 August 2020
• Base sqrt2
  ...apT.png|300px|thumb|[[Complex map|Map]] of [[exponent]] to base \(b=\sqrt{2}\); lines of constant \(u\) and lines of constant \(v\) show ...00.jpg|300px|thumb|[[Complex map|Map]] of [[Logarithm]] to base \(b=\sqrt{2}\); lines of constant \(u\) and lines of constant \(v\) show
  3 KB (557 words) - 18:46, 30 July 2019
• Conjecture on superfunctions
  </ref> and \(~y=\sin^n(\pi/2)-\sin^n(x)~\) with \(~n\!=\!100~\) http://www.ams.org/journals/mcom/2010-79-271/S0025-5718-10-02342-2/home.html<br>
  7 KB (1,031 words) - 03:16, 12 May 2021
• Exotic iteration
  Let \(~ T(z)=z+b z^2 + c z^3+..\) T[z_] = z + b z^2 + c z^3;
  11 KB (1,715 words) - 18:44, 30 July 2019
• Mathematics of Computation
  http://www.ams.org/journals/mcom/2010-79-271/S0025-5718-10-02342-2/home.html<br> ...H.Trappmann. Portrait of the four regular super-exponentials to base sqrt(2). Mathematics of Computation, 2010, v.79, p.1727-1756.
  2 KB (344 words) - 07:02, 1 December 2018
• SinFT
  ...ansform, refers to the integral transform with kernel \(K(x,y)=\sqrt{\frac{2}{\pi}} \sin(xy)\); \(\displaystyle g(x)=\,\)[[SinFT]]\(f\,(x) \displaystyle =\sqrt{\frac{2}{\pi}} \int_0^\infty \sin(xy) \, f(y) \, \mathrm d y\)
  5 KB (807 words) - 18:44, 30 July 2019
• Special function
  2. Alternative representations of the function, relation of the function to o And kilogram be 2 lb.
  7 KB (991 words) - 18:48, 30 July 2019
• Sqrt2f21e.cin
  ...uggests routine F21E for evaluation of [[tetration]] to base \(b\!=\!\sqrt{2}\). //In order to evaluate \(\mathrm{tet}_{\sqrt{2}}(z)\), the routine should be called as F21E(z)
  1 KB (109 words) - 18:48, 30 July 2019
• Sqrt2f21l.cin
  ...Sqrt2f21l.cin]] is code for evaluation of [[arctetration]] to base \(\sqrt{2}\) of complex argument. DB TcL[23]={1., //coeff. of expansion of exp(-q(z+1.2 ...) by powers of (2-F).
  1 KB (145 words) - 18:47, 30 July 2019
• Sqrt2f23e.cin
  ...r evaluation of real–holomorphic superexponential to base \(b\!=\!\sqrt{2}\). //In order to evaluate \(\mathrm{tet}_{\sqrt{2}}(z)\), the routine should be called as F23E(z)
  2 KB (146 words) - 18:47, 30 July 2019
• Sqrt2f23l.cin
  ...or evaluation of real–holomorphic abelexponential to base \(b\!=\!\sqrt{2}\). //In order to evaluate \(\mathrm{tet}_{\sqrt{2}}(z)\), the routine should be called as F23L(z)
  2 KB (168 words) - 18:47, 30 July 2019
• Sqrt2f43e.cin
  ...Sqrt2f43e.cin]] is routine for evaluation of superexponent to base \(\sqrt{2}\) that approach 4 at \(-\infty\) and has value 3 at zero. 0.12022125769065893274e-1, -0.45849888965617461424e-2,
  1 KB (131 words) - 10:44, 24 June 2020
• Sqrt2f43l.cin
  ...[Sqrt2f43e.cin]] is routine for evaluarion of abelexponent to base \(\sqrt{2}\) that approach 4 at \(-\infty\) and has value zero at 3. -0.587369764200886206e-2, 0.289686728710575713e-2,
  1 KB (124 words) - 18:46, 30 July 2019

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