gives the spherical Hankel function of the first kind .


  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • SphericalHankelH1 is given in terms of ordinary Hankel functions by .
  • SphericalHankelH1[n,z] has a branch cut discontinuity in the complex z plane running from to .
  • Explicit symbolic forms for integer n can be obtained using FunctionExpand.
  • For certain special arguments, SphericalHankelH1 automatically evaluates to exact values.
  • SphericalHankelH1 can be evaluated to arbitrary numerical precision.
  • SphericalHankelH1 automatically threads over lists.
Introduced in 2007