gives the Kelvin function .

gives the Kelvin function .


  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • For positive real values of parameters, . For other values, is defined by analytic continuation.
  • KelvinKei[n,z] has a branch cut discontinuity in the complex z plane running from to .
  • KelvinKei[z] is equivalent to KelvinKei[0,z].
  • For certain special arguments, KelvinKei automatically evaluates to exact values.
  • KelvinKei can be evaluated to arbitrary numerical precision.
  • KelvinKei automatically threads over lists.
Introduced in 2007