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KelvinKer

KelvinKer[z]
gives the Kelvin function .
KelvinKer
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.
  • KelvinKer has a branch cut discontinuity in the complex z plane running from to .
  • For certain special arguments, KelvinKer automatically evaluates to exact values.
  • KelvinKer can be evaluated to arbitrary numerical precision.
Evaluate numerically:
Plot :
Series at the origin:
Evaluate numerically:
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Plot :
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Series at the origin:
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Evaluate for complex arguments and orders:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
TraditionalForm formatting:
KelvinKer can be applied to a power series:
Solve the Kelvin differential equation:
Plot the radial density profile for AC current in a hollow cylinder:
Use FullSimplify to simplify expressions involving Kelvin functions:
Use FunctionExpand to expand Kelvin functions of half-integer orders:
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