绘制带有伽马评估的函数

Question

我需要您帮助我在 Latex 文档中绘制一些函数。我需要在我的报告中绘制两条或更多条曲线，并将它们放在两个段落之间。例如，

f1(x) =abs((Gamma(1/x) - 4x) /Gamma(x+1))

f2(x) =1/(x+2)^3

在间隔[1,15]

标记曲线以及 x 轴和 y 轴。

编辑。我​​尝试了以下代码，但是不起作用！

\documentclass[pstricks,border=12pt]{standalone} 
\usepackage{pst-plot} 
\usepackage[margin=0.25in]{geometry} 
\usepackage{pgfplots} 
\pgfplotsset{width=10cm,compat=1.9} 
\usepackage{amsmath,amsfonts,amssymb} 
\usepackage{pst-func} 
\usepackage{auto-pst-pdf} 
\pgfplotsset{compat=newest}
   
\begin{document}    

\begin{tikzpicture} \begin{axis}[
        axis lines = left,
        xlabel = \(x\),
        ylabel = {\(f(x)\)}, ] %Below the red parabola is defined 
\addplot [
        domain=1:15, 
        samples=100, 
        color=red, ] { gnuplot {=abs((Gamma(1/x) - 4x) /Gamma(x+1))}} ;
    \addlegendentry{\(f1\)} %Here the blue parabola is defined 
\addplot [
        domain=1:15, 
        samples=100, 
        color=blue,
        ]
        {1/(x+2)^3}; \addlegendentry{\(f2\)}
    
\end{axis} 
\end{tikzpicture} 
\end{document}

Answer 1

类似这样的？运行lualatex

\documentclass[pstricks,border=10mm]{standalone} 
\usepackage{pst-plot} 
\usepackage{pst-math} 

\begin{document}    
    
\psset{yunit=2}
\begin{pspicture} (0,0)(10,5)
\psaxes{->}(0,0)(10,5)[$x$,0][$f(x)$,90]    
\psset{linewidth=1.5pt,plotpoints=500}
\psplot[linecolor=blue]{1}{10}{%    ABS((GAMMA(1/x) - 4*x)/GAMMA(x+1))}
    1 x div GAMMA 4 x mul sub x 1 add GAMMA div abs } 
\psplot[linecolor=red,yunit=5,algebraic]{1}{10}{1/(x+2)^3}
\end{pspicture} 

\end{document}