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 QFactorial function using MatrixFunction:

Values at fixed points:

Value at zero:

Evaluate for symbolic n at integer and half-integer parameters:

Evaluate for symbolic q at integer and half-integer parameters:

Find a value of n for which QFactorial[n,2]=10:

Plot the QFactorial function:

Plot the QFactorial as a function of its second parameter q:

Plot the real part of :

Plot the imaginary part of :

The real domain of QFactorial:

The complex domain:

QFactorial threads elementwise over lists:

is not an analytic function:

It has both singularities and discontinuities for and :

is neither nonincreasing nor nondecreasing:

QFactorial is not injective:

QFactorial is not surjective:

is neither non-negative nor non-positive:

QFactorial is neither convex nor concave:

TraditionalForm formatting:

The first derivative with respect to n:

Higher derivatives with respect to n:

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

Find the Taylor expansion using Series:

Plots of the first three approximations around :

The Taylor expansion at a generic point: