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File:Z 2d443d04.jpg (1,047 × 1,024 (218 KB)) - 09:40, 21 June 2013File:Z 57fe6ee7.jpg (900 × 784 (145 KB)) - 09:41, 21 June 2013File:Z ae266144.jpg (900 × 843 (145 KB)) - 09:41, 21 June 2013File:Z f8e0e5e5.jpg (900 × 598 (66 KB)) - 09:41, 21 June 2013File:Sqrt(exp)(z).jpg (842 × 953 (83 KB)) - 06:14, 1 December 2018File:BubnovFront-z-400.jpg (300 × 400 (13 KB)) - 08:31, 1 December 2018
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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 2018File: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 2018File: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 2013File: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 2013File: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 2013File: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 2018File:AbelFactorialR.png :$G(z!)=G(z)+1$(1,060 × 705 (34 KB)) - 09:39, 21 June 2013File: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 2013File: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 2013File: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 2013File: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 2013File: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 2013File: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 2013File: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 2013File:AcoscplotT.png : $\displaystyle \mathrm{Left}_3(z)=\mathrm{Sazae} \frac{2(z-\mathrm{Tarao})}(1,267 × 1,267 (152 KB)) - 09:41, 21 June 2013File: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 2013File: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 2013File: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 2013File: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 2013File: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