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KelvinKei

KelvinKei[z]
gives the Kelvin function kei(z).
KelvinKei[n, z]
gives the Kelvin function kei_n(z).
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • For positive real values of parameters, kei_n(z)=Im(e^(-n​pi​i/2)K_n(z​e^(pi​i/4))). For other values, kei is defined by analytic continuation.
  • KelvinKei[n, z] has a branch cut discontinuity in the complex z plane running from -∞ to 0.
  • For certain special arguments, KelvinKei automatically evaluates to exact values.
  • KelvinKei can be evaluated to arbitrary numerical precision.
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