Plotting Gamma Function: \[Gamma][v]

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SUMMARY

The discussion focuses on plotting the Gamma function using Mathematica, specifically the implementation of the function \[Gamma][v] defined as 1/Sqrt[1 - (v)^2]. Two plots are created: one for the Gamma function and another to indicate the origin. The user seeks a more effective method to display the origin, suggesting the use of a specific PlotRange of {{-1, 1}, {0, 7}} instead of the default "All". This approach enhances the visualization by focusing on the relevant area of the graph.

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  • Understanding of the Gamma function in mathematics
  • Familiarity with Mathematica syntax and plotting functions
  • Knowledge of graphical representation and PlotRange settings
  • Basic concepts of function behavior near critical points
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  • Study the impact of PlotRange adjustments on data representation
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\[Gamma][v_] := 1/Sqrt[1 - (v)^2]
plot1 = Plot[\[Gamma][v], {v, -.99, .99},
PlotStyle -> {Thick, RGBColor[0.6, 0, 0]}, PlotRange -> All] \.08
plot2 = Plot[0, {v, -.99, .99}, PlotRange -> All] \.08
Show[plot1, plot2, PlotRange -> All,
AxesLabel -> {"\!\(\*FractionBox[\"v\", \"c\"]\)[]",
"\[Gamma](\!\(\*FractionBox[\"v\", \"c\"]\))\!\(\*
StyleBox[\"[\",\nFontColor->GrayLevel[0]]\)\!\(\*
StyleBox[\"]\",\nFontColor->GrayLevel[0]]\)"}, LabelStyle -> Larger]

The idea for plot2 was to show the origin. the function has a minimum value of 1 but I want to show the origin. Is there a better way?
 
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"plotrange" instead of "all" PlotRange -> {{-1, 1}, {0, 7}}
 

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