Evaluate numerically:

Evaluate to high precision:

The precision of the output tracks the precision of the input:

Complex number inputs:

Evaluate efficiently at high precision:

Compute average-case statistical intervals using Around:

Compute the elementwise values of an array:

Or compute the matrix QGamma function using MatrixFunction:

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 real domain of QGamma:

The complex domain:

QGamma threads elementwise over lists:

is not an analytic function:

It has both singularities and discontinuities for and for :

is neither nonincreasing nor nondecreasing:

is not injective:

is not surjective:

is neither non-negative nor non-positive:

QGamma is neither convex nor concave:

TraditionalForm formatting:

The first derivative with respect to z:

Higher derivatives with respect to z:

Plot the higher derivatives with respect to z when q=3: