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KelvinBer

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