gives the -gamma function .
- Mathematical function, suitable for both symbolic and numerical manipulation.
- for .
- for .
- QGamma automatically threads over lists.
Examplesopen allclose all
Basic Examples (3)
Plot over a subset of the reals:
Plot over a subset of the complexes:
Numerical Evaluation (4)
Evaluate to high precision:
The precision of the output tracks the precision of the input:
Complex number inputs:
Evaluate efficiently at high precision:
Specific Values (5)
Values at fixed points:
QGamma has a singularity at x=0:
Evaluate for symbolic x at integer and half-integer parameters:
Evaluate for symbolic q at integer and half-integer parameters:
Find a value of x for which QGamma[x,2]=10:
Plot the QGamma function:
Plot the QGamma as a function of its second parameter q:
Plot the real part of :
Plot the imaginary part of :
The first derivative with respect to z:
Higher derivatives with respect to z:
Plot the higher derivatives with respect to z when q=3:
–deformation of :
Properties & Relations (1)