hankel2( n , z )

The Hankel function of the second kind of z in SageMath. Defined in terms of Bessel functions by

Plot of the real part on the real axis:

  show( plot( real(hankel2(n,x)), x, 0, 20, figsize=[4,2], color=(0,.5,1) ) )

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Plot of the imaginary part on the real axis:

  show( plot( imag(hankel2(n,x)), x, 0, 20, figsize=[4,2], color=(0,.5,1), ymax=5 ) )

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Series expansion about the origin:

  show( maxima( hankel2(n,z) ).taylor(z,0,6) )

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Special values:

show( 'hankel2(0,0)=', hankel2(0,0) )

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Related functions:   hankel1   bessel_J   bessel_Y

Function category: Bessel functions sagemath-docs