Graphs of the Beta Function
Graphs of the Beta Function
Real parts of the special function , the beta function, which was studied by Euler, Legendre, Binet, Whittaker, Watson, and others.
Β(x,y)
Details
Details
Here are two equivalent definitions of the beta function:
Β(x,y)
Γ(x)Γ(y)
Γ(x+y)
Γ(z)
Β(x,y)(1-t)t,Re(x)>0,Re(y)>0
1
∫
0
y-1
x-1
t
External Links
External Links
Permanent Citation
Permanent Citation
Daniel de Souza Carvalho
"Graphs of the Beta Function"
http://demonstrations.wolfram.com/GraphsOfTheBetaFunction/
Wolfram Demonstrations Project
Published: December 3, 2007