NevilleThetaS

Evaluate to high precision:

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

NevilleThetaS threads element-wise over lists:

Evaluate for complex arguments and parameters:

NevilleThetaS evaluates symbolically for special arguments:

TraditionalForm formatting:

NevilleThetaS can be applied to power series:

Plot over the arguments' plane:

Conformal map from a unit triangle to the unit disk:

Show points before and after the map:

Uniformization of a Fermat cubic :

Plot the curve for real :

Verify that points on the curve satisfy :

Current flow in a rectangular conducting sheet with voltage applied at a pair of opposite corners:

Plot the flow lines:

Parametrize a lemniscate by arc length:

Show the classical and arc length parametrizations:

Basic simplifications are automatically carried out:

Use FullSimplify for expressions containing Neville theta functions:

Numerically find a root of a transcendental equation:

Machine-precision input is insufficient to give a correct answer: