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src/modifiedsphericalbessel.jl

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# sphericalbesselk(nu, x)
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#
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# A numerical routine to compute the modified spherical bessel functions of the second kind.
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# For moderate sized integer orders, forward recurrence is used starting from explicit formulas for k0(x) [1] and k1(x) [2].
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# For moderate sized integer orders, forward recurrence is used starting from explicit formulas for k0(x) = exp(-x) / x and k1(x) = k0(x) * (x+1) / x [1].
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# Large orders are determined from the uniform asymptotic expansions (see src/besselk.jl for details)
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# For non-integer orders, we directly call the besselk routine using the relation k_{n}(x) = sqrt(pi/(2x))*besselk(n+1/2, x) [3].
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# For non-integer orders, we directly call the besselk routine using the relation k_{n}(x) = sqrt(pi/(2x))*besselk(n+1/2, x) [1].
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#
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# [1] http://dlmf.nist.gov/10.49.E12
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# [2] http://dlmf.nist.gov/10.49.E13
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# [3] http://dlmf.nist.gov/10.47.E9
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# [1] https://mathworld.wolfram.com/ModifiedSphericalBesselFunctionoftheSecondKind.html
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#
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"""
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sphericalbesselk(nu, x::T) where T <: {Float32, Float64}

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