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 usingAround:

Compute the elementwise values of an array:

Or compute the matrixNevilleThetaC function usingMatrixFunction:

Values at corners of the fundamental cell:

NevilleThetaC for special values of elliptic parameter:

Find the first positive maximum ofNevilleThetaC[x,1/4]:

DifferentNevilleThetaC types give different symbolic forms:

Plot theNevilleThetaC functions for various values of the parameter:

PlotNevilleThetaC as a function of its parameter:

Plot the real part of:

Plot the imaginary part of:

The real domain ofNevilleThetaC:

The complex domain ofNevilleThetaC:

Approximate function range of:

Approximate function range of:

NevilleThetaC is an even function:

NevilleThetaC threads elementwise over lists:

is an analytic function of for:

is neither non-decreasing nor non-increasing:

is not injective:

is not surjective:

is neither non-negative nor non-positive, except for:

has no singularities or discontinuities except for:

is affine only for and otherwise it is neither convex nor concave:

FormatNevilleThetaC inTraditionalForm:

The first-order derivatives:

Higher-order derivatives:

Plot the higher-order derivatives:

Find the Taylor expansion usingSeries:

Plots of the first three approximations around:

The Taylor expansion for small elliptic parameterm:

The Taylor expansion around: