StruveH
StruveH[n,z]
gives the Struve function .
Details

- Mathematical function, suitable for both symbolic and numerical manipulation.
for integer n satisfies the differential equation
.
- StruveH[n,z] has a branch cut discontinuity in the complex
plane running from
to
.
- For certain special arguments, StruveH automatically evaluates to exact values.
- StruveH can be evaluated to arbitrary numerical precision.
- StruveH automatically threads over lists.
Examples
open allclose allBasic Examples (5)
Plot over a subset of the complexes:
Series expansion at the origin:
Asymptotic expansion at Infinity:
Scope (41)
Numerical Evaluation (4)
Specific Values (4)
For half-integer indices, StruveH evaluates to elementary functions:
Visualization (5)
Function Properties (9)
Function domain of StruveH for half-integer :
Approximate function range of :
is analytic in the interior of its real domain:
It is not analytic everywhere, as it has both singularities and discontinuities:
is neither nondecreasing nor nonincreasing:
Differentiation (3)
Integration (4)
Definite integral of StruveH:
Definite integral of the odd integrand over an interval centered at the origin is 0:
Definite integral of the even integrand over an interval centered at the origin:
Series Expansions (4)
Integral Transforms (2)
Function Representations (4)
Representation in terms of StruveL:
StruveH can be represented in terms of MeijerG:
TraditionalForm formatting:
Generalizations & Extensions (1)
StruveH can be applied to a power series:
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RelatedLinks-Functions.png
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