Evaluate numerically:

Evaluate to high precision:

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

Complex number input:

Evaluate efficiently at high precision:

Compute average-case statistical intervals using Around:

Compute the elementwise values of an array:

Or compute the matrix Multinomial function using MatrixFunction:

Values of Multinomial at fixed points:

Multinomial for symbolic n:

Values at zero:

Find a value of n for which Multinomial[n,1,1]=15:

Plot the Multinomial as a function of its parameter:

Plot the real part of :

Plot the imaginary part of :

The real domain of as a function of its last parameter :

The complex domain:

Approximate function range of :

has the mirror property:

is an analytic function of x:

is neither non-decreasing nor non-increasing:

is not injective:

is surjective:

is neither non-negative nor non-positive:

does not have either singularity or discontinuity:

is neither convex nor concave:

TraditionalForm formatting:

The first derivative with respect to n₃:

Higher derivatives with respect to n₃:

Plot the higher derivatives with respect to n₃ when n₁=n₂=3:

Find the Taylor expansion using Series:

Plots of the first three approximations around :

The Taylor expansion at a generic point: