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  "body": "\n## Summary\n\nThe Struve function $\\mathbf{H}_\\nu$ is a particular solution of Bessel's equation with a power of $z$ on the right-hand side.\nIt complements the [[Bessel functions|CZCMRDWDYW]], which solve the equation with right-hand side $0$.\nIt appears in acoustics, for the radiation of a vibrating piston, and in problems of water waves and optics.\n\n## Explanations\n\n### L1 human\n\nBessel's equation without a right-hand side describes free vibrations of a round object.\nAdding a forcing term that is a power of $z$ gives a new equation, and the Struve function is its standard solution.\nEvery other solution is the Struve function plus a combination of Bessel functions.\nFor example, $\\mathbf{H}_{1/2}(x) = \\sqrt{\\frac{2}{\\pi x}}\\,(1 - \\cos x)$ for $x \u003e 0$.\n",
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