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• Base e1e
  ...1emapT1000.jpg|200px|thumb|[[Complex map|Map]] of \(~f\!=\!\eta\!=\!\exp_{\exp(1/\mathrm e)}~\); here \(~u+\mathrm i v=f(x\!+\!\mathrm i y)~\) ]] [[File:Loge1emapT1000.jpg|200px|thumb|[[Complex map|Map]] of \(~f\!=\!\log_{\exp(1/\mathrm e)}~\); here \(~u+\mathrm i v=f(x\!+\!\mathrm i y)~\) ]]
  4 KB (559 words) - 17:10, 10 August 2020
• Base sqrt2
  ...xpQ2mapT.png|300px|thumb|[[Complex map|Map]] of [[exponent]] to base \(b=\sqrt{2}\); lines of constant \(u\) and lines of constant \(v\) show ...apT1000.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
  [[File:Boyt.jpg|360px|thumb|Sledge by http://en.wikipedia.org/wiki/File:Boy_on_snow_sled,_1945.jpg Father of JGKlein. Boy on snow sled, 1945.
  7 KB (1,031 words) - 03:16, 12 May 2021
• Elementary function
  \(A_{b,n}(z\!+\!1)=A_{b,n-1}\!\big( A_{b,n}(z)\big)\) ..., the real–holomorphism of ackermanns is assumed, \(A_{b,n}(z^*)=A_{b,n}(z)^*\).
  3 KB (496 words) - 18:45, 30 July 2019
• Exotic iteration
  F(z\!+\!1)=T(F(z)) \( \displaystyle \lim_{z\rightarrow \infty} F(z)=L\)
  11 KB (1,715 words) - 18:44, 30 July 2019
• Hermite Gauss mode
  [[Hermite Gauss mode]] refers to the specific solution \(F=F(x,z)\) of equation then, assuming some large positive \(M\), expression \(M^2 z/k\) has sense of the coordinate along the propagation of wave, and \(M x/k\
  8 KB (1,216 words) - 18:43, 30 July 2019
• Hermite polynomial
  [[File:Hermiten.jpg|300px|thumb| Normalised [[Hermite polynomial]]s, \(y=h_n(x)\) for \(n=2,3,4 [[File:Hermiten6map.jpg|312px|thumb| \(u\!+\!\mathrm i v=h_6(x\!+\!\mathrm i y\) ]]
  4 KB (628 words) - 18:47, 30 July 2019
• Kori
  [[File:Koriplot.jpg|400px|right]] [[File:KorimapFragment.jpg|400px|thumb|\(u\!+\!v=\mathrm{kori}(x\!+\!\mathrm i y)\)]]
  14 KB (1,943 words) - 18:48, 30 July 2019
• LaguerreL
  TeXForm[TableForm[Table[Table[LaguerreL[n, m, z], {n, 0, 5}], {m, 0, 8}]]] 1 & 1-z & \frac{1}{2} \left(z^2-4 z+2\right) &
  5 KB (759 words) - 18:44, 30 July 2019
• Maga
  [[File:MagaplotFragment.jpg|300px|thumb|\(y\!=\!\mathrm{maga}(x)\) (thick black curve) and related func \(\mathrm{naga}(x)=\displaystyle 2 \int_0^\infty \mathrm{mori}(p )^2 \exp(\mathrm i p^2 x) \, p \,\mathrm d p\)
  8 KB (1,256 words) - 18:44, 30 July 2019
• Mathematics of Computation
  D.Kouznetsov. Analytic solution of F(z+1)=exp(F(z)) in complex z-plane. Mathematics of Computation, v.78 (2009), 1647-1670. ...tsov, 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
• Morinaga function
  [[File:MoriplotFragment.jpg|400px|thumb| [[Morinaga function]] and the principal Bessel mode]] [[File:Morimap.jpg|400px|thumb|\(u\!+\!\mathrm i v= \mathrm{mori}(x\!+\!\mathrm i y)\)]]
  15 KB (2,303 words) - 18:47, 30 July 2019
• Naga
  ...laystyle\mathrm{naga}(p)=2\int_0^\infty \frac{J_0(L_1 x)^2}{(1-x^2)^2} \, \exp(\mathrm i p x^2)\, x\, \mathrm dx\) \(~\displaystyle \mathrm{naga}(p)=2 \int_0^\infty \mathrm{mori}(x)^2 \, \exp(\mathrm i p x^2)\, x\, \mathrm d x\)
  5 KB (750 words) - 10:00, 20 July 2020
• Oscillator function
  [[File:Hermigaplot.jpg|400px|thumb|\(u\!=\!F_n(x)~\) for \(~n = 0\) .. \(6\)]] [[File:Hermiga6map.jpg|400px|thumb|\(u\!+\!\mathrm i v=F_6(x\!+\!\mathrm i y)\)]]
  6 KB (846 words) - 18:47, 30 July 2019
• Radial equation for hydrogen atom
  \(z=\sin(\phi)\) \(\Phi(\phi)=\exp(\pm \mathrm i m \phi)\)
  8 KB (1,199 words) - 18:45, 30 July 2019
• Series
  Series[HankelH1[0, Sqrt[x] ]^2 Pi I Sqrt[x]/2, {x, Infinity, 2}] e^{2 i \sqrt{x}} \left(1-\frac{1}{4} i
  2 KB (325 words) - 18:44, 30 July 2019
• Sqrt2f21e.cin
  ...n]] suggests routine F21E for evaluation of [[tetration]] to base \(b\!=\!\sqrt{2}\). ...uate \(\mathrm{tet}_{\sqrt{2}}(z)\), 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. //z_type tq2L(z_type z){ int n; z_type e,s,k;
  1 KB (145 words) - 18:47, 30 July 2019
• Sqrt2f23e.cin
  ...1E for evaluation of real–holomorphic superexponential to base \(b\!=\!\sqrt{2}\). ...uate \(\mathrm{tet}_{\sqrt{2}}(z)\), the routine should be called as F23E(z)
  2 KB (146 words) - 18:47, 30 July 2019
• Sqrt2f23l.cin
  ...23L for evaluation of real–holomorphic abelexponential to base \(b\!=\!\sqrt{2}\). ...uate \(\mathrm{tet}_{\sqrt{2}}(z)\), the routine should be called as F23L(z)
  2 KB (168 words) - 18:47, 30 July 2019

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