§11.14 Tables

For tables before 1961 see Fletcher et al. (1962) and Lebedev and Fedorova (1960). Tables listed in these Indices are omitted from the subsections that follow.

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  Abramowitz and Stegun (1964, Chapter 12) tabulates ${\mathbf{H}}_n\left(x\right)$, ${\mathbf{H}}_n\left(x\right)-Y_n\left(x\right)$, and $I_n\left(x\right)-{\mathbf{L}}_n\left(x\right)$ for $n=0,1$ and $x=0(.1)5$, $x^{-1}=0(.01)0.2$ to 6D or 7D.

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  Agrest et al. (1982) tabulates ${\mathbf{H}}_n\left(x\right)$ and ${\mathrm{e}}^{-x}{\mathbf{L}}_n\left(x\right)$ for $n=0,1$ and $x=0(.001)5(.005)15(.01)100$ to 11D.

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  Barrett (1964) tabulates ${\mathbf{L}}_n\left(x\right)$ for $n=0,1$ and $x=0.2(.005)4(.05)10(.1)19.2$ to 5 or 6S, $x=6(.25)59.5(.5)100$ to 2S.

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  Zanovello (1975) tabulates ${\mathbf{H}}_n\left(x\right)$ for $n=-4(1)15$ and $x=0.5(.5)26$ to 8D or 9S.

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  Zhang and Jin (1996) tabulates ${\mathbf{H}}_n\left(x\right)$ and ${\mathbf{L}}_n\left(x\right)$ for $n=-4(1)3$ and $x=0(1)20$ to 8D or 7S.

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  Abramowitz and Stegun (1964, Chapter 12) tabulates ${\int }_0^x(I_0\left(t\right)-{\mathbf{L}}_0\left(t\right))dt$ and $(2/\pi ){\int }_x^{\mathrm{\infty }}{t}^{-1}{\mathbf{H}}_0\left(t\right)dt$ for $x=0(.1)5$ to 5D or 7D; ${\int }_0^x({\mathbf{H}}_0\left(t\right)-Y_0\left(t\right))dt-(2/\pi )\ln x$, ${\int }_0^x(I_0\left(t\right)-{\mathbf{L}}_0\left(t\right))dt-(2/\pi )\ln x$, and ${\int }_x^{\mathrm{\infty }}{t}^{-1}({\mathbf{H}}_0\left(t\right)-Y_0\left(t\right))dt$ for $x^{-1}=0(.01)0.2$ to 6D.

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  Agrest et al. (1982) tabulates ${\int }_0^x{\mathbf{H}}_0\left(t\right)dt$ and ${\mathrm{e}}^{-x}{\int }_0^x{\mathbf{L}}_0\left(t\right)dt$ for $x=0(.001)5(.005)15(.01)100$ to 11D.

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  Bernard and Ishimaru (1962) tabulates ${\mathbf{J}}_{\nu }\left(x\right)$ and ${\mathbf{E}}_{\nu }\left(x\right)$ for $\nu =-10(.1)10$ and $x=0(.1)10$ to 5D.

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  Jahnke and Emde (1945) tabulates ${\mathbf{E}}_n\left(x\right)$ for $n=1,2$ and $x=0(.01)14.99$ to 4D.

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  Agrest and Maksimov (1971, Chapter 11) defines incomplete Struve, Anger, and Weber functions and includes tables of an incomplete Struve function ${\mathbf{H}}_n\left(x,\alpha \right)$ for $n=0,1$, $x=0(.2)10$, and $\alpha =0(.2)1.4,\frac{1}{2}\pi$, together with surface plots.