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 worst-case guaranteed intervals using Interval and CenteredInterval objects:

Or compute average-case statistical intervals using Around:

Compute the elementwise values of an array:

Or compute the matrix ScorerGi function using MatrixFunction:

Simple exact values are generated automatically:

Limiting values at infinity:

Find positive maximum of ScorerGi[x ]:

Plot the ScorerGi function:

Plot the real part of :

Plot the imaginary part of :

Real domain of ScorerGi:

Complex domain:

Approximate function range of ScorerGi:

ScorerGi threads elementwise over lists:

ScorerGi is an analytic function of x:

ScorerGi is neither nondecreasing nor nonincreasing:

ScorerGi is not injective:

ScorerGi is not surjective:

ScorerGi is neither non-negative nor non-positive:

ScorerGi does not have singularity or discontinuity:

ScorerGi is neither convex nor concave:

TraditionalForm typesetting:

First derivative with respect to z:

Higher derivatives with respect to z

Plot the higher derivatives with respect to z:

Formula for the derivative with respect to z:

Indefinite integral of ScorerGi:

More integrals:

Find the Taylor expansion using Series:

Plots of the first three approximations around :

Taylor expansion at a generic point:

FunctionExpand tries to simplify the argument of ScorerGi:

Functional identity:

ScorerGi can be represented as a DifferentialRoot: