zeta#

ivy.zeta(x, q, /, *, out=None)[source]#

Compute the Hurwitz zeta function elementwisely with each pair of floats in two arrays.

Parameters:

x (Union[Array, NativeArray]) – First input array.
q (Union[Array, NativeArray]) – Second input array, must have the same shape as the first input array
out (Optional[Array], default: None) – Alternate output array in which to place the result. The default is None.

Return type:

bool

Returns:

ret – Array with values computed from zeta function from input arrays’ values.

Examples

>>> x = ivy.array([5.0, 3.0])
>>> q = ivy.array([2.0, 2.0])
>>> ivy.zeta(x, q)
ivy.array([0.0369, 0.2021])

Array.zeta(self, q, /, *, out=None)[source]#

ivy.Array instance method variant of ivy.zeta. This method simply wraps the function, and so the docstring for ivy.zeta also applies to this method with minimal changes.

Parameters:

self (Array) – First input array.
q (Array) – Second input array.
out (Optional[Array], default: None) – Alternate output array in which to place the result. The default is None.

Return type:

Array

Returns:

ret – Array with values computed from zeta function from input arrays’ values.

Examples

>>> x = ivy.array([5.0, 3.0])
>>> q = ivy.array([2.0])
>>> x.zeta(q)
ivy.array([0.0369, 0.2021])

Container.zeta(self, q, /, *, key_chains=None, to_apply=True, prune_unapplied=False, map_sequences=False, out=None)[source]#

ivy.Container instance method variant of ivy.zeta. This method simply wraps the function, and so the docstring for ivy.zeta also applies to this method with minimal changes.

Parameters:

self (Container) – Input container containing first input array.
q (Container) – Input container containing second input array.
key_chains (Optional[Union[List[str], Dict[str, str], Container]], default: None) – The key-chains to apply or not apply the method to. Default is None.
to_apply (Union[bool, Container], default: True) – If True, the method will be applied to key_chains, otherwise key_chains will be skipped. Default is True.
prune_unapplied (Union[bool, Container], default: False) – Whether to prune key_chains for which the function was not applied. Default is False.
map_sequences (Union[bool, Container], default: False) – Whether to also map method to sequences (lists, tuples). Default is False.
out (Optional[Container], default: None) – Alternate output array in which to place the result. The default is None.

Return type:

Container

Returns:

ret – container including the zeta function computed element-wise

Examples

>>> x = ivy.Container(a=ivy.array([5.0, 3.0]),        ...                         b=ivy.array([2.0, 1.0])
>>> q = ivy.Container(a=ivy.array([2.0]),        ...                         b=ivy.array([5.0]))
>>> x.zeta(q)
{
    a: ivy.array([0.0369, 0.2021]),
    b: ivy.array([0.0006, 0.0244])
}