scipy.special.ker#

scipy.special.ker(x,out=None)=<ufunc'ker'>#

Kelvin function ker.

Defined as

\[\mathrm{ker}(x) = \Re[K_0(x e^{\pi i / 4})]\]

Where\(K_0\) is the modified Bessel function of the secondkind (seekv). See[dlmf] for more details.

Parameters:

xarray_like

Real argument.

outndarray, optional

Optional output array for the function results.

Returns:

scalar or ndarray

Values of the Kelvin function.

See also

kei

the corresponding imaginary part

kerp

the derivative of ker

kv

modified Bessel function of the second kind

References

[dlmf]

NIST, Digital Library of Mathematical Functions,https://dlmf.nist.gov/10.61

Examples

Try it in your browser!

It can be expressed using the modified Bessel function of thesecond kind.

>>>importnumpyasnp>>>importscipy.specialassc>>>x=np.array([1.0,2.0,3.0,4.0])>>>sc.kv(0,x*np.exp(np.pi*1j/4)).realarray([ 0.28670621, -0.04166451, -0.06702923, -0.03617885])>>>sc.ker(x)array([ 0.28670621, -0.04166451, -0.06702923, -0.03617885])

Go BackOpen In Tab