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21: 13.30 Tables

§13.30 Tables

… ►For other tables prior to 1961 see Fletcher et al. (1962) and Lebedev and Fedorova (1960).

22: 14.33 Tables

§14.33 Tables

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Žurina and Karmazina (1964, 1965) tabulate the conical functions ${𝖯}_{-\frac{1}{2}+\mathrm{i}\tau }\left(x\right)$ for $\tau =0(.01)50$, $x=-0.9(.1)0.9$, 7S; $P_{-\frac{1}{2}+\mathrm{i}\tau }\left(x\right)$ for $\tau =0(.01)50$, $x=1.1(.1)2(.2)5(.5)10(10)60$, 7D. Auxiliary tables are included to facilitate computation for larger values of $\tau$ when .

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Žurina and Karmazina (1963) tabulates the conical functions ${𝖯}_{-\frac{1}{2}+\mathrm{i}\tau }^1\left(x\right)$ for $\tau =0(.01)25$, $x=-0.9(.1)0.9$, 7S; $P_{-\frac{1}{2}+\mathrm{i}\tau }^1\left(x\right)$ for $\tau =0(.01)25$, $x=1.1(.1)2(.2)5(.5)10(10)60$, 7S. Auxiliary tables are included to assist computation for larger values of $\tau$ when .

►For tables prior to 1961 see Fletcher et al. (1962) and Lebedev and Fedorova (1960).

23: 26.17 The Twelvefold Way

… ►See Table 26.17.1. In this table ${\left(k\right)}_n$ is Pochhammer’s symbol, and $S(n,k)$ and $p_k\left(n\right)$ are defined in §§26.8(i) and 26.9(i). ►Table 26.17.1 is reproduced (in modified form) from Stanley (1997, p. 33). … ►

Table 26.17.1: The twelvefold way.

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elements of $N$	elements of $K$	$f$ unrestricted	$f$ one-to-one	$f$ onto
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24: 10.76 Approximations

… ►Luke (1971b, a, 1972), Luke (1975, Tables 9.1, 9.2, 9.5, 9.6, 9.11–9.15, 9.17–9.21), Weniger and Čížek (1990), Németh (1992, Chapters 4–6). … ►Luke (1975, Tables 9.3, 9.4, 9.7–9.9, 9.16, 9.22), Németh (1992, Chapter 10). … ►Luke (1975, Tables 9.23–9.28), Coleman and Monaghan (1983), Coleman (1987), Zhang (1996), Zhang and Belward (1997). … ►Luke (1975, Table 9.10), Németh (1992, Chapter 9).

25: 26.2 Basic Definitions

… ►See Table 26.2.1 for $n=0(1)50$. For the actual partitions ($\pi$) for $n=1(1)5$ see Table 26.4.1. … ►

Table 26.2.1: Partitions $p\left(n\right)$.

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$n$	$p\left(n\right)$	$n$	$p\left(n\right)$	$n$	$p\left(n\right)$
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26: 11.14 Tables

§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. ►

§11.14(ii) Struve Functions

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§11.14(iv) Anger–Weber Functions

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27: Preface

… ►Abramowitz and Stegun’s Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables is being completely rewritten with regard to the needs of today. …The DLMF will make full use of advanced communications and computational resources to present downloadable math data, manipulable graphs, tables of numerical values, and math-aware search. …

28: 9.18 Tables

§9.18 Tables

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§9.18(ii) Real Variables

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§9.18(iii) Complex Variables

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§9.18(iv) Zeros

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§9.18(v) Integrals

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29: Guide to Searching the DLMF

… ►From there you can also access an advanced search page where you can control certain settings, narrowing the search to certain chapters, or restricting the results to equations, graphs, tables, or bibliographic items. ►

Table 1: Query Examples

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Query	Matching records contain
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Table 2: Wildcard Examples

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Query	What it stands for
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Table 3: A sample of recognized symbols

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Symbols	Comments
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Table 4: Font and Accent Examples

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Query	Matches
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30: 26.3 Lattice Paths: Binomial Coefficients

… ►For numerical values of $\left(\genfrac{}{}{0.0pt}{}{m}{n}\right)$ and $\left(\genfrac{}{}{0.0pt}{}{m+n}{n}\right)$ see Tables 26.3.1 and 26.3.2. ►

Table 26.3.1: Binomial coefficients $\left(\genfrac{}{}{0.0pt}{}{m}{n}\right)$.

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$m$	$n$
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Table 26.3.2: Binomial coefficients $\left(\genfrac{}{}{0.0pt}{}{m+n}{m}\right)$ for lattice paths.

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$m$	$n$
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