Evaluate to high precision:

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

FoxH takes complex number parameters and :

FoxH takes complex number arguments:

Evaluate FoxH efficiently at high precision:

Compute the elementwise values of an array using automatic threading:

Or compute the matrix FoxH function using MatrixFunction:

Compute average-case statistical intervals using Around:

Values at fixed points:

Evaluate FoxH symbolically:

Values at zero:

Plot a family of FoxH functions:

ComplexContourPlot of FoxH[{{{},{}},{{{-1,1/2}},{}}, z]:

Use AbsArgPlot and ReImPlot to plot complex values of FoxH over the real numbers:

Plot FoxH as a function of parameters and :

For simple parameters, FoxH evaluates to simpler functions:

FoxH is symmetric in the pairs and :

FoxH might reduce to a simpler FoxH if some of the pairs are equal:

A more complex case:

FoxH threads elementwise over lists in the last argument:

TraditionalForm formatting:

First derivative with respect to z:

Higher-order derivative with respect to z:

Formula for the derivative of a specific FoxH with respect to z:

Compute the indefinite integral using Integrate:

Verify it by calculating the antiderivative:

Definite integral:

Some other integrals:

Get the series expansion of some FoxH function at the origin:

The first three approximations of this FoxH function around :

Plot these approximations:

Find the series expansion of a general FoxH function at the origin:

Find the series expansion of a general FoxH function at Infinity:

Get the general term in the series expansion using SeriesCoefficient: