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  "body": "\n## Summary\n\nThe Bessel–Clifford function $\\mathcal{C}_n$ is an entire function of one variable.\nIt is the [[Bessel function of the first kind|CZCMRDWDYW]] without its power factor and its square root.\nIt satisfies $J_n(x) = \\left( \\frac{x}{2} \\right)^n \\mathcal{C}_n\\left( -\\frac{x^2}{4} \\right)$.\nIts power series has the simple coefficients $\\frac{1}{k!\\, \\Gamma(n + k + 1)}$, which makes it convenient in computation and in algebraic arguments.\n\n## Explanations\n\n### L1 human\n\nBessel functions mix a power $x^n$ with a series in $x^2$.\nThe Bessel–Clifford function removes the power and replaces $x^2$ by a new variable, leaving a clean power series.\nFor $n = 0$ it is $\\mathcal{C}_0(z) = \\sum_{k \\ge 0} \\frac{z^k}{(k!)^2} = 1 + z + \\frac{z^2}{4} + \\cdots$.\nFrom it one recovers $J_0(x) = \\mathcal{C}_0\\left( -\\frac{x^2}{4} \\right)$.\n",
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