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21: Foreword

… ►In 1964 the National Institute of Standards and Technology published the Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, edited by Milton Abramowitz and Irene A. …

22: 6.16 Mathematical Applications

… ►See Carslaw (1930) for additional graphs and information. … ►

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Figure 6.16.1: Graph of $S_n(x)$, $n=250$, $-0.1\le x\le 0.1$, illustrating the Gibbs phenomenon. Magnify

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Figure 6.16.2: The logarithmic integral $\mathrm{li}\left(x\right)$, together with vertical bars indicating the value of $\pi (x)$ for $x=10,20,\mathrm{\dots },1000$. Magnify

23: 7.19 Voigt Functions

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Figure 7.19.1: Voigt function $𝖴(x,t)$, $t=0.1$, $2.5$, $5$, $10$. Magnify

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Figure 7.19.2: Voigt function $𝖵(x,t)$, $t=0.1$, $2.5$, $5$, $10$. Magnify

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24: Bibliography I

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Statistical Field Theory: Strong Coupling, Monte Carlo Methods, Conformal Field Theory, and Random Systems. Vol. 2, Cambridge University Press, Cambridge.

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External Links:

ISBN 0-521-37012-4; 0-521-40806-7, MathReview (C. A. Hurst), ZentralBlatt

Referenced by:

2nd item.

Encodings:

BibTeX

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25: 27.21 Tables

… ►Bressoud and Wagon (2000, pp. 103–104) supplies tables and graphs that compare $\pi \left(x\right),x/\ln x$, and $\mathrm{li}\left(x\right)$. …

26: Richard A. Askey

… ►Published in 1985 in the Memoirs of the American Mathematical Society, it also introduced the directed graph of hypergeometric orthogonal polynomials commonly known as the Askey scheme. …

27: Bibliography D

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Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach. Courant Lecture Notes in Mathematics, Vol. 3, New York University Courant Institute of Mathematical Sciences, New York.

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External Links:

ISBN 0-9658703-2-4; 0-8218-2695-6, MathReview (Alexander Vladimirovich Kitaev), ZentralBlatt

Referenced by:

§18.38(ii), §18.38(ii).

Encodings:

BibTeX

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Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory. Comm. Pure Appl. Math. 52 (11), pp. 1335–1425.

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External Links:

ISSN 0010-3640, Document, MathReview (D. S. Lubinsky), ZentralBlatt

Referenced by:

§18.32.

Encodings:

BibTeX

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$2$D gravity and random matrices. Phys. Rep. 254 (1-2), pp. 1–133.

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External Links:

ISSN 0370-1573, Document, MathReview (Yolanda Lozano)

Referenced by:

§32.16.

Encodings:

BibTeX

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28: 10.3 Graphics

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§10.3(iii) Imaginary Order, Real Variable

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Figure 10.3.19: ${\tilde{J}}_5\left(x\right)$, ${\tilde{Y}}_5\left(x\right)$, $0.01\le x\le 10$. Magnify

29: 4.15 Graphics

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30: 28.3 Graphics

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§28.3(i) Line Graphs: Mathieu Functions with Fixed $q$ and Variable $x$

… ►For further graphs see Jahnke et al. (1966, pp. 264–265 and 268–275). …