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The Dedekind eta function

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dedekindEta(z) represents the Dedekind eta function .

The Dedekind eta function is defined for all complex numbers z with positive imaginary part.

Floating-point results are computed for floating-point arguments. For all other arguments, the function returns symbolically.

Environment Interactions

When called with a floating-point argument, the function is sensitive to the environment variable DIGITS which determines the numerical working precision.


Example 1

The Dedekind eta function takes on small values near the real axis:

dedekindEta(1 + 0.001*I)

Example 2

A symbolic call is returned if the argument is not a floating-point number:

dedekindEta(I), dedekindEta(x)



An arithmetical expression

Return Values

Arithmetical expression

See Also

MuPAD Functions

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