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StruveH

StruveH[n, z]
gives the Struve function H_n(z).
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • H_n(z) for integer n satisfies the differential equation .
  • StruveH[n, z] has a branch cut discontinuity in the complex z plane running from -infty to 0.
  • For certain special arguments, StruveH automatically evaluates to exact values.
  • StruveH can be evaluated to arbitrary numerical precision.
  • StruveH automatically threads over lists.
EXAMPLESCLOSE ALL
Scope   (6)
Evaluate for complex arguments and parameters:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
StruveH threads element-wise over lists:
For half-integer indices, StruveH evaluates to elementary functions:
TraditionalForm formatting:
Generalizations & Extensions   (1)
StruveH can be applied to a power series:
Applications   (2)
Solve the inhomogeneous Bessel differential equation:
The diffraction pattern from an infinitely long line source by a circular aperture:
Properties & Relations   (1)
Derivative:
Anti-derivative:
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