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gives the Kelvin function bei(z).
KelvinBei[n, z]
gives the Kelvin function bei_n(z).
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • For positive real values of parameters, bei_n(z)=Im(e^(n​pi​i)J_n(z​e^(-pi​i/4))). For other values, bei is defined by analytic continuation.
  • KelvinBei[n, z] has a branch cut discontinuity in the complex z plane running from -∞ to 0.
  • For certain special arguments, KelvinBei automatically evaluates to exact values.
  • KelvinBei can be evaluated to arbitrary numerical precision.
New in 6