jacobiZeta

Jacobi Zeta function

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Syntax

jacobiZeta(u, m)

Description

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.

Examples

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)

Parameters

u

An arithmetical expression.

m

An arithmetical expression specifying the parameter.

Return Values

Arithmetical expression.