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• Iteration
  [[File:PowIteT.jpg|400px|thumb|Fig.1. Iterates of \(T(z)=z^2~\): \(~y\!=\!T^n(x)\!=\!x^{2^n}~\) for various \(n\)]] [[File:FacIteT.jpg|400px|thumb|Fig.2. Iterates of [[Factorial]]: \(~y\!=\!\mathrm{Factorial~}^
  14 KB (2,203 words) - 06:36, 20 July 2020
• Квадратный корень из факториала
  [[File:SquareRootOfFactorial.png|400px|right|thumb| \(y\!=\! x!\) и \(y\!=\!\sqrt{!\,}(x)\) как функции от \(x\)]] ...из факториала ([[Square root of factorial]]), то есть \(\sqrt{\,!\,}\) - голоморфная функкция \(f\) такая, что
  6 KB (312 words) - 18:33, 30 July 2019
• Iterated integral
  [[File:Caputo.jpg|200px|right|thumb|M.Caputo]] (id est, \(\sqrt{-\!1}~\) ) in [[Mathematica]] and the [[Identity function]], which is also
  9 KB (1,321 words) - 18:26, 30 July 2019
• Корень из факториала
  : \(h(h(z))=z\) для некоторого домена значений \(z\).
  7 KB (381 words) - 18:38, 30 July 2019
• Filog.cin
  ...\(\exp(z)\) is evaluated with routine complex double Filog(complex double z) below z_type ArcTania(z_type z) {return z + log(z) - 1. ;}
  2 KB (258 words) - 10:19, 20 July 2020
• Filog
  [[File:FilogmT1000a.jpg|300px|right|thumb|\(u\!+\! \mathrm i v=\mathrm{Filog}(x\!+\! \mathrm i y)\) [[File:Figlogzo2t.jpg|300px|right|thumb|\(u\!+\! \mathrm i v=\mathrm{Filog}(x\!+\! \mathrm i y)\)
  4 KB (572 words) - 20:10, 11 August 2020
• Fac.cin
  z_type fracti(z_type z){ z_type s; int n; DB a[17]= s=a[16]/(z+19./(z+25./(z))); for(n=15;n>=0;n--) s=a[n]/(z+s);
  4 KB (487 words) - 07:00, 1 December 2018
• ArcSin
  : \(\displaystyle \sin(z) = \frac{\exp(\mathrm i z)- \exp(-\mathrm i z)}{2~ \mathrm i}\) \(f=\arcsin(z)\) is holomorphic solution \(f\) of equation
  9 KB (982 words) - 18:48, 30 July 2019
• Absorbing Schroedinger
  ...al case, the particle propagates mainly along some coordinate, let it be \(z\), and the potential depends only on the transversal coordinates. ...\!\!\!\!\!\!\!\!\!\! (6) ~ ~ ~ \psi=\mathrm e ^{\mathrm i (c+\mathrm i s) z }\)
  15 KB (2,070 words) - 18:47, 30 July 2019
• BesselJ0
  J_0''(z)+ J_0'(z)/z+
  6 KB (913 words) - 18:25, 30 July 2019
• Guiding of waves between absorbing walls
  :\( \displaystyle \!\!\!\!\!\!\!\!\!\! (4) ~ ~ ~ \Psi = \psi ~ \exp(\mathrm i \omega t)\) ...is assumed, and it is supposed that mainly the particle propagates along \(z\) axis, and \(x\) is called the transversal coordinate.!-->
  5 KB (743 words) - 18:47, 30 July 2019
• BesselK0
  f''(z)+f(z)/z=f(z) K_0(z) = \exp(-z)\sqrt{\frac{\pi}{2z}} ~ \Big( 1+ O(1/z)\Big)
  3 KB (394 words) - 18:26, 30 July 2019
• Bessel function
  \( \!\!\!\!\!\!\!\!\! (1) ~ ~ ~ f''(z)+f'(z)/z+(1-\nu/z^2)f(x) =0\) Due to singularity of the equation at \(z=0\), the regular solution should have specific behavior. This solution is c
  13 KB (1,592 words) - 18:25, 30 July 2019
• Efjh.cin
  z_type J(z_type z){ return .5-sqrt(.25-z/Q); } z_type H(z_type z){ return Q*z*(1.-z); }
  3 KB (364 words) - 07:00, 1 December 2018
• Shoko function
  :\( \!\!\!\!\!\!\!\!\!\! (1) ~ ~ ~ \mathrm {Shoko}(z)=\ln\Big(1+\mathrm e^z (\mathrm e -1) \Big)\) ...!\!\!\!\!\!\!\!\!\! (2) ~ ~ ~ \mathrm {Shoko}(z)= (\mathrm e -1) \mathrm e^z+ O(\mathrm e^{2z})\)
  10 KB (1,507 words) - 18:25, 30 July 2019
• F45E.cin
  ...valuation of the [[superfunction]] of the [[exponential]] to base \(b\!=\!\sqrt{2}\), constructed at the fixed point \(L\!=\!4\). z_type f45E(z_type z){int n; z_type e,s;
  1 KB (139 words) - 18:48, 30 July 2019
• Tania.cin
  z_type ArcTania(z_type z) {return z + log(z) - 1. ;} z_type ArcTaniap(z_type z) {return 1. + 1./z ;}
  1 KB (209 words) - 15:01, 20 June 2013
• Schroeder equation
  [[File:Ernst schroederFragment.jpg|thumb|[[Ernst Schroeder]] (1) \(~ ~ ~ g\Big(T(z)\Big)= s \, g(z)\)
  8 KB (1,239 words) - 11:32, 20 July 2020
• Zooming equation
  (1) \(~ ~ ~ T\big(f(z)\big)= f( K\, z)~\) (2) \(~ ~ ~ g\big(T(z)\big)= K \, g(z) \)
  10 KB (1,627 words) - 18:26, 30 July 2019
• ArcTra
  [[File:ArcTraMapT.jpg|200px|thumb| \(u\!+\!\mathrm i v\!=\! \mathrm{ArcTra}(x\!+\!\mathrm i y)~\) (1)\(~ ~ ~ \mathrm{tra}(z)=z+\exp(z)\)
  10 KB (1,442 words) - 18:47, 30 July 2019

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