Evaluate numerically to high precision:

The precision of the output tracks the precision of the input:

Evaluate for complex arguments and parameters:

Evaluate StruveH efficiently at high precision:

StruveH threads elementwise over lists:

Compute average-case statistical intervals using Around:

Compute the elementwise values of an array:

Or compute the matrix StruveH function using MatrixFunction:

For half-integer indices, StruveH evaluates to elementary functions:

Limiting values at infinity:

Value of at a complex infinity is indeterminate:

Find a zero of :

Plot the StruveH function for :

Plot the StruveH function for negative integer values of :

Plot the StruveH function for half-integer values of :

Plot the real part of :

Plot the imaginary part of :

Plot the real part of :

Plot the imaginary part of :

Function domain of StruveH for half-integer :

Complex domain:

Approximate function range of :

Function range of :

Parity:

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:

is not injective:

is not surjective:

is neither non-negative nor non-positive:

is neither convex nor concave:

First derivative:

Higher derivatives:

Plot higher derivatives for :

Plot higher derivatives for :

Formula for the derivative:

Indefinite integral:

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:

This is twice the integral over half the interval:

Taylor expansion for :

Plot the first three approximations for around :

General term in the series expansion of :

Series expansion of StruveH at infinity:

StruveH can be applied to a power series:

Compute the Hankel transform using HankelTransform:

Mellin transform for using MellinTransform:

Argument simplifications:

Recurrence relation:

Series representation:

Representation in terms of StruveL:

StruveH can be represented in terms of MeijerG:

TraditionalForm formatting: