File:Doya1T.jpg

 #include <math.h>
 #include <stdio.h>
 #include <stdlib.h>
 #define DB double
 #define DO(x,y) for(x=0;x<y;x++)
// using namespace std;
 #include <complex>
 typedef std::complex<double> z_type;
 #define Re(x) x.real()
 #define Im(x) x.imag()
 #define I z_type(0.,1.)
 DB ArcTania(DB x){ return x+log(x)-1.;}
 #include "ado.cin"
 #include "doya.cin"
 #define M(x,y) fprintf(o,"%7.4f %7.4f M\n",0.+x,0.+y);
 #define L(x,y) fprintf(o,"%7.4f %7.4f L\n",0.+x,0.+y);
 int main(){ int j,k,m,n; DB x,y,t,e, a; z_type z;
 FILE *o;o=fopen("doyaplot1.eps","w");ado(o,208,308);
 fprintf(o,"4 4 translate\n 100 100 scale\n");
 fprintf(o,"2 setlinecap\n");
 for(m=0;m<3;m++){ M(m,0)L(m,3)}
 for(n=0;n<4;n++){ M(0,n)L(2,n)}
fprintf(o,".004 W 0 0 0 RGB S\n");
 fprintf(o,"2 setlinejoin 1 setlinecap\n");
 M(0,0); for(n=1;n<151;n++){x=.02*n;z=x;y=Re(Doya(1.,z)); L(x,y)}
 fprintf(o,".02 W 0 .8 0 RGB S\n");

 M(0,0); for(n=1;n<58;n++){x=.01*n; y=M_E*x*(1.-x*(M_E-1.)) ; L(x,y)}
 fprintf(o,".005 W .8 0 0 RGB S\n");

 M(0,0) L(3./M_E,3.) fprintf(o,".005 W 0 0 .8 RGB S\n");

 //M(0,0); for(n=0;n<110;n++){x=.01+.01*n; y=M_E*x*(1.+x*(1.-M_E + x*(.5+M_E*(-2.+M_E*1.5)))) ; L(x,y)}

 fprintf(o,"showpage\n%cTrailer",'%'); fclose(o);
        system("epstopdf doyaplot1.eps");
        system( "open doyaplot1.pdf"); //these 2 commands may be specific for macintosh
 getchar(); system("killall Preview");// if run at another operational sysetm, may need to modify
}

\documentclass[12pt]{article}
\usepackage{geometry}
\usepackage{graphicx}
\usepackage{rotating}
\paperwidth 214pt
\paperheight 320pt
\topmargin -100pt
\oddsidemargin -83pt
\textwidth 1200pt
\textheight 600pt
\pagestyle {empty}
\newcommand \sx {\scalebox}
\newcommand \rot {\begin{rotate}}
\newcommand \ero {\end{rotate}}
\newcommand \ing {\includegraphics}
\begin{document}
\begin{picture}(200,298)
\put(0,0){\ing{doyaplot1}}
\put(-7,298){\sx{1.6}{$y$}}
%\put(-36,300){\sx{1.7}{$T(z)$}}
\put(-7,200){\sx{1.6}{$2$}}
\put(-7,100){\sx{1.6}{$1$}}
\put(0,-11){\sx{1.6}{0}}
\put(100,-11){\sx{1.6}{1}}
\put(197,-11){\sx{1.6}{$x$}}
\put( 38,110){\rot{70}{\sx{1.7}{$y=\mathrm e\, x$}}\ero}
%\put( 58,110){\rot{55}{\sx{1.7}{$y=T(z)$}}\ero}
\put( 58,110){\rot{53}{\sx{1.7}{$y=\mathrm{Doya}(x)$}}\ero}
\put( 26,30){\sx{1.6}{$y=\mathrm e\, z - \mathrm e (\mathrm e\!-\!1) x^2$}}
\end{picture}
\end{document}