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1: George E. Andrews

… ►He is now collaborating with Bruce Berndt on a series of volumes explicating the brilliant and sometimes enigmatic ideas in this notebook. …

2: Tom H. Koornwinder

… ►Currently he is on the editorial board for Constructive Approximation, and is editor for the volume on Multivariable Special Functions in the ongoing Askey–Bateman book project. …

3: Mourad E. H. Ismail

… ► Garvan), Kluwer Academic Publishers, 2001; and Theory and Applications of Special Functions: A volume dedicated to Mizan Rahman (with E. …

4: 5.19 Mathematical Applications

… ►The volume

V

and surface area

S

of the

n

-dimensional sphere of radius

r

are given by …

5: 19.33 Triaxial Ellipsoids

… ►The surface area of an ellipsoid with semiaxes

a, b, c

, and volume

V=4\pi abc/3

is given by ►

19.33.1

S=3VR_{G}\left(a^{-2},b^{-2},c^{-2}\right),

ⓘ

Symbols:: $R_{G}\left(\NVar{x},\NVar{y},\NVar{z}\right)$ : symmetric elliptic integral of second kind, $V$ : volume and $S$ : area
Referenced by:: §19.33(i)
Permalink:: http://dlmf.nist.gov/19.33.E1
Encodings:: pMML, png, TeX
See also:: Annotations for §19.33(i), §19.33 and Ch.19

… ►Let a homogeneous magnetic ellipsoid with semiaxes

a, b, c

, volume

V=4\pi abc/3

, and susceptibility

\chi

be placed in a previously uniform magnetic field

H

parallel to the principal axis with semiaxis

c

. … ►

19.33.7

L_{c}=2\pi abc\int_{0}^{\infty}\frac{\,\mathrm{d}\lambda}{\sqrt{(a^{2}+\lambda% )(b^{2}+\lambda)(c^{2}+\lambda)^{3}}}=VR_{D}\left(a^{2},b^{2},c^{2}\right).

ⓘ

Symbols:: $R_{D}\left(\NVar{x},\NVar{y},\NVar{z}\right)$ : elliptic integral symmetric in only two variables, $\pi$ : the ratio of the circumference of a circle to its diameter, $\,\mathrm{d}\NVar{x}$ : differential of $x$ , $\int$ : integral, $L_{a}$ , $L_{b}$ : factor and $V$ : volume
Referenced by:: §19.15, §19.33(iii)
Permalink:: http://dlmf.nist.gov/19.33.E7
Encodings:: pMML, png, TeX
See also:: Annotations for §19.33(iii), §19.33 and Ch.19

…

6: Foreword

… ►The new printed volume, the NIST Handbook of Mathematical Functions, serves a similar function as the original A&S, though it is heavily updated and extended. …

… ►In 2000, a 1,074-page commemorative volume Selected Papers of F.W.J. Olver, Parts I and II (R. …In a review of that volume, Jet Wimp of Drexel University said that the papers “exemplify a redoubtable mathematical talent, the work of a man who has done more than almost anyone else in the 20th century to bestow on the discipline of applied mathematics the elegance and rigor that its earliest practitioners, such as Gauss and Laplace, would have wished for it. …

8: Bibliography V

… ►

N. Ja. Vilenkin and A. U. Klimyk (1991) Representation of Lie Groups and Special Functions. Volume 1: Simplest Lie Groups, Special Functions and Integral Transforms. Mathematics and its Applications (Soviet Series), Vol. 72, Kluwer Academic Publishers Group, Dordrecht.

ⓘ

Notes:: Translated from the Russian by V. A. Groza and A. A. Groza
External Links:: ISBN 0-7923-1466-2, MathReview (Robert A. Gustafson), ZentralBlatt
Referenced by:: §18.38(iii).
Encodings:: BibTeX

►

N. Ja. Vilenkin and A. U. Klimyk (1992) Representation of Lie Groups and Special Functions. Volume 3: Classical and Quantum Groups and Special Functions. Mathematics and its Applications (Soviet Series), Vol. 75, Kluwer Academic Publishers Group, Dordrecht.

ⓘ

Notes:: Translated from the Russian by V. A. Groza and A. A. Groza
External Links:: ISBN 0-7923-1493-X, MathReview (P. D. F. Ion), ZentralBlatt
Referenced by:: §18.38(iii), Ch.35.
Encodings:: BibTeX

►

N. Ja. Vilenkin and A. U. Klimyk (1993) Representation of Lie Groups and Special Functions. Volume 2: Class I Representations, Special Functions, and Integral Transforms. Mathematics and its Applications (Soviet Series), Vol. 74, Kluwer Academic Publishers Group, Dordrecht.

ⓘ

Notes:: Translated from the Russian by V. A. Groza and A. A. Groza
External Links:: ISBN 0-7923-1492-1, MathReview (P. D. F. Ion), ZentralBlatt
Referenced by:: §18.38(iii).
Encodings:: BibTeX

…

9: Bibliography Y

… ►

A. Young and A. Kirk (1964) Bessel Functions. Part IV: Kelvin Functions. Royal Society Mathematical Tables, Volume 10, Cambridge University Press, Cambridge-New York.

ⓘ

External Links:: MathReview (John Todd), ZentralBlatt
Referenced by:: §10.65(ii), §10.68(iii), §10.68(iv), §10.71(i), 1st item.
Encodings:: BibTeX

…

10: 1.6 Vectors and Vector-Valued Functions

… ►Volume of a parallelepiped with vectors

\mathbf{a}

\mathbf{b}

, and

\mathbf{c}

as edges

=\left|\mathbf{a}\cdot(\mathbf{b}\times\mathbf{c})\right|

. … ►Lastly, the volume of a parallelepiped with vectors

\mathbf{a}

\mathbf{b}