11 Struve and Related Functions Computation 11.13 Methods of Computation 11.15 Approximations

§11.14 Tables

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Permalink:: http://dlmf.nist.gov/11.14
See also:: Annotations for Ch.11

§11.14(i) Introduction

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Permalink:: http://dlmf.nist.gov/11.14.i
See also:: Annotations for §11.14 and Ch.11

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.

§11.14(ii) Struve Functions

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Keywords:: Struve functions and modified Struve functions, tables
Permalink:: http://dlmf.nist.gov/11.14.ii
See also:: Annotations for §11.14 and Ch.11

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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 $e^{-x}\mathbf{L}_{n}\left(x\right)$ 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.

§11.14(iii) Integrals

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Keywords:: Struve functions and modified Struve functions, integrals, tables
Permalink:: http://dlmf.nist.gov/11.14.iii
See also:: Annotations for §11.14 and Ch.11

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Abramowitz and Stegun (1964, Chapter 12) tabulates $\int_{0}^{x}(I_{0}\left(t\right)-\mathbf{L}_{0}\left(t\right))\,\mathrm{d}t$ and $(2/\pi)\int_{x}^{\infty}t^{-1}\mathbf{H}_{0}\left(t\right)\,\mathrm{d}t$ for $x=0(.1)5$ to 5D or 7D; $\int_{0}^{x}(\mathbf{H}_{0}\left(t\right)-Y_{0}\left(t\right))\,\mathrm{d}t-(2% /\pi)\ln x$ , $\int_{0}^{x}(I_{0}\left(t\right)-\mathbf{L}_{0}\left(t\right))\,\mathrm{d}t-(2% /\pi)\ln x$ , and $\int_{x}^{\infty}t^{-1}(\mathbf{H}_{0}\left(t\right)-Y_{0}\left(t\right))\,% \mathrm{d}t$ for $x^{-1}=0(.01)0.2$ to 6D.
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Agrest et al. (1982) tabulates $\int_{0}^{x}\mathbf{H}_{0}\left(t\right)\,\mathrm{d}t$ and $e^{-x}\int_{0}^{x}\mathbf{L}_{0}\left(t\right)\,\mathrm{d}t$ for $x=0(.001)5(.005)15(.01)100$ to 11D.

§11.14(iv) Anger–Weber Functions

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Keywords:: Anger–Weber functions, tables
Permalink:: http://dlmf.nist.gov/11.14.iv
See also:: Annotations for §11.14 and Ch.11

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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.

§11.14(v) Incomplete Functions

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Keywords:: Anger–Weber functions, Struve functions and modified Struve functions, incomplete
Permalink:: http://dlmf.nist.gov/11.14.v
See also:: Annotations for §11.14 and Ch.11

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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 $\alpha=0(.2)1.4,\tfrac{1}{2}\pi$ , together with surface plots.

11.13 Methods of Computation 11.15 Approximations

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