Jacobi Zeta function

Use only in the MuPAD Notebook Interface.

This functionality does not run in MATLAB.


jacobiZeta(u, m)


jacobiZeta(u,m) represents the Jacobi Zeta function which is defined as


The Jacobi Zeta function is defined for complex arguments u and m.

Exact results are returned for m = 0, m = 1 or u = 0. In all other cases an unevaluated symbolic call is returned.

A floating-point value is computed if both arguments are numerical and at least one is a floating-point number.

Environment Interactions

When called with floating-point arguments, these functions are sensitive to the environment variable DIGITS which determines the numerical working precision.


Example 1

Most calls with exact arguments are returned unevaluated:

jacobiZeta(2, -1)

If m = 0, m = 1 or u = 0, an exact result is returned:

jacobiZeta(0, 3)

jacobiZeta(1, 0)

jacobiZeta(2, 1)



An arithmetical expression.


An arithmetical expression specifying the parameter.

Return Values

Arithmetical expression.

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