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  • File:Factorialz.jpg
    In the complex <math>z</math>-plane, the lines of constant <math>u=\Re(z!)</math> and
    (1,219 × 927 (479 KB)) - 08:35, 1 December 2018
  • File:FactoReal.jpg
    z_type expauno(z_type z) {int n,m; DB x,y; z_type s; s=expaunoc[24]; x=Re(z);if(x<-.9) return expauno(z+1.)-log(z+1.);
    (915 × 1,310 (141 KB)) - 08:35, 1 December 2018
  • File:OneOverFactorial.jpg
    Complex map of f(z)=1/z! in the complex z plane. Copy from
    (1,244 × 949 (276 KB)) - 17:50, 20 June 2013
  • File:AbelFacMapT.png
    $\mathrm{AbalFactorial}(z)=\mathrm{Factorial}^z(3)$ main(){ int j,k,m,n; DB x,y, p,q, t; z_type z,c,d;
    (1,412 × 1,395 (372 KB)) - 17:17, 25 September 2013
  • File:AbelFacPloT.png
    z_type arcsuperfac0(z_type z){ int n; z_type s, c, e; // z-=2.; s=U[15]*z; for(n=14;n>=0;n--){ s+=U[n]; s*=z;}
    (1,673 × 1,308 (136 KB)) - 09:43, 21 June 2013
  • File:AbelFactorialMap.png
    int main(){ int j,k,m,n; DB x,y, p,q, t; z_type z,c,d; DO(n,N1){y=Y[n]; z=z_type(x,y);
    (675 × 673 (120 KB)) - 08:28, 1 December 2018
  • File:AbelFactorialR.png
    :$G(z!)=G(z)+1$
    (1,060 × 705 (34 KB)) - 09:39, 21 June 2013
  • File:AciplotTa.png
    z_type Cip(z_type z) {return cos(z)/z;} z_type Cipp(z_type z) {return (-sin(z) - cos(z)/z)/z ;}
    (1,267 × 1,267 (84 KB)) - 09:41, 21 June 2013
  • File:AcipmapTjpg.jpg
    z_type Cip(z_type z) {return cos(z)/z;} z_type Cipp(z_type z) {return (-sin(z) - cos(z)/z)/z ;}
    (1,759 × 1,746 (661 KB)) - 09:41, 21 June 2013
  • File:AcipmapTpng.png
    z_type Cip(z_type z) {return cos(z)/z;} z_type Cipp(z_type z) {return (-sin(z) - cos(z)/z)/z ;}
    (844 × 838 (199 KB)) - 09:41, 21 June 2013
  • File:AcomapT200.png
    z_type acos(z_type z){ if(Im(z)<0){if(Re(z)>=0){return I*log( z + sqrt(z*z-1.) );}
    (2,345 × 2,328 (1.06 MB)) - 09:41, 21 June 2013
  • File:Acosc1mapT.png
    main(){ int j,k,m,n; DB x,y, p,q, t; z_type z,c,d; DO(n,N1){y=Y[n]; z=z_type(x,y);
    (1,759 × 1,746 (862 KB)) - 09:41, 21 June 2013
  • File:Acosc1plotT.png
    main(){ int j,k,m,n; DB x,y, p,q, t; z_type z,c,d; /* M(Tarao,Sazae) DO(m,200){x=-.33+.01*(m+.5); z=x; DB t=x-Tarao0, u=sqrt(t);
    (851 × 2,728 (203 KB)) - 09:41, 21 June 2013
  • File:AcoscmapT300.png
    z_type cosc(z_type z) {return cos(z)/z;} z_type cosp(z_type z) {return (-sin(z) - cos(z)/z)/z ;}
    (3,517 × 3,492 (1.64 MB)) - 09:41, 21 June 2013
  • File:AcoscplotT.png
    : $\displaystyle \mathrm{Left}_3(z)=\mathrm{Sazae} \frac{2(z-\mathrm{Tarao})}
    (1,267 × 1,267 (152 KB)) - 09:41, 21 June 2013
  • File:AcosmapT200.png
    z_type acos(z_type z){ if(Im(z)<0){if(Re(z)>=0){return I*log( z + sqrt(z*z-1.) );}
    (1,773 × 1,752 (797 KB)) - 09:41, 21 June 2013
  • File:AcosplotT.png
    z_type acos(z_type z){ if(Im(z)<0){if(Re(z)>=0){return I*log( z + sqrt(z*z-1.) );}
    (897 × 1,387 (69 KB)) - 09:41, 21 June 2013
  • File:Acosq1plotT.png
    $\mathrm{acosq}_1(z)=\mathrm{acosc}_1\left( \mathrm e ^{ \mathrm i \pi/4 } z \right)$ :\mathrm{expan}_1(z)=\frac{3 \pi}{2}
    (2,512 × 3,504 (379 KB)) - 09:41, 21 June 2013
  • File:AcosqplotT100.png
    :$ \mathrm{acosq}(z)=\mathrm{acosc}\left( \mathrm e^{\mathrm i \pi/4}\, z\right)$ for real values of $z$.
    (2,231 × 1,215 (152 KB)) - 09:41, 21 June 2013
  • File:AcosqqplotT.png
    : $\text{acosqq}(z)=\text{acosq}(z)\, \tan\!\!\big( \text{acosq}(z) \big)$ : $\text{acosq}(z)=\text{acosq}\big( \mathrm e ^{\mathrm i \pi /4}\, z \big)$
    (1,686 × 1,823 (148 KB)) - 09:41, 21 June 2013

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