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$n$	$p\left(n\right)$	$n$	$p\left(n\right)$	$n$	$p\left(n\right)$
…
6	11	23	1255	40	37338
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11	56	28	3718	45	89134
12	77	29	4565	46	1 05558
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15	176	32	8349	49	1 73525
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22: 10.74 Methods of Computation

… ►For infinite integrals involving products of Bessel functions of the first and second kinds, see Ratnanather et al. (2014). …

23: Errata

… ►

Equation (34.7.4)

34.7.4

\begin{pmatrix}j_{13}&j_{23}&j_{33}\\ m_{13}&m_{23}&m_{33}\end{pmatrix}\begin{Bmatrix}j_{11}&j_{12}&j_{13}\\ j_{21}&j_{22}&j_{23}\\ j_{31}&j_{32}&j_{33}\end{Bmatrix}=\sum_{m_{r1},m_{r2},r=1,2,3}\begin{pmatrix}j% _{11}&j_{12}&j_{13}\\ m_{11}&m_{12}&m_{13}\end{pmatrix}\*\begin{pmatrix}j_{21}&j_{22}&j_{23}\\ m_{21}&m_{22}&m_{23}\end{pmatrix}\begin{pmatrix}j_{31}&j_{32}&j_{33}\\ m_{31}&m_{32}&m_{33}\end{pmatrix}\*\begin{pmatrix}j_{11}&j_{21}&j_{31}\\ m_{11}&m_{21}&m_{31}\end{pmatrix}\begin{pmatrix}j_{12}&j_{22}&j_{32}\\ m_{12}&m_{22}&m_{32}\end{pmatrix}

Originally the third $\mathit{3j}$ symbol in the summation was written incorrectly as $\begin{pmatrix}j_{31}&j_{32}&j_{33}\\ m_{13}&m_{23}&m_{33}\end{pmatrix}.$

Reported 2015-01-19 by Yan-Rui Liu.

… ►

Version 1.0.9 (August 29, 2014)

… ►

Version 1.0.8 (April 25, 2014)

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Version 1.0.7 (March 21, 2014)

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Version 1.0.3 (Aug 29, 2011)

…

24: 18.36 Miscellaneous Polynomials

… ►Two representative examples, type I

X_{1}

-Laguerre, Gómez-Ullate et al. (2010), and type III

X_{2}

-Hermite, Gómez-Ullate and Milson (2014) EOP’s, are illustrated here. … ►Completeness and orthogonality follow from the self-adjointness of the corresponding Schrödinger operator, Gómez-Ullate and Milson (2014), Marquette and Quesne (2013).

25: Bibliography V

… ►

H. Volkmer and J. J. Wood (2014) A note on the asymptotic expansion of generalized hypergeometric functions. Anal. Appl. (Singap.) 12 (1), pp. 107–115.

ⓘ

External Links:: ISSN 0219-5305, Document, MathReview (Roberto S. Costas-Santos), ZentralBlatt
Referenced by:: §16.11(ii), §16.11(ii).
Encodings:: BibTeX

…

26: 11 Struve and Related Functions

Chapter 11 Struve and Related Functions

…

27: Publications

… ►

B. V. Saunders and Q. Wang (2005) Boundary/Contour Fitted Grid Generation for Effective Visualizations in a Digital Library of Mathematical Functions, Proceedings of the 9th International Conference on Numerical Grid Generation in Computational Field Simulations, San Jose, June 11–18, 2005. pp. 61–71.

►

Q. Wang and B. V. Saunders (2005) Web-Based 3D Visualization in a Digital Library of Mathematical Functions, Proceedings of the Web3D Symposium, Bangor, UK, March 29–April 1, 2005.

►

B. V. Saunders and Q. Wang (2006) From B-Spline Mesh Generation to Effective Visualizations for the NIST Digital Library of Mathematical Functions, in Curve and Surface Design, Proceedings of the Sixth International Conference on Curves and Surfaces, Avignon, France June 29–July 5, 2006, pp. 235–243.

…

28: Staff

… ►

Richard B. Paris, University of Abertay, Chaps. 8, 11

… ►

Hans Volkmer, University of Wisconsin, Milwaukee, Chaps. 29, 30

… ►

Richard B. Paris, University of Abertay Dundee, for Chaps. 8, 11 (deceased)

… ►

Hans Volkmer, University of Wisconsin–Milwaukee, for Chaps. 29, 30

…

29: 29 Lamé Functions

Chapter 29 Lamé Functions

…

30: 18.39 Applications in the Physical Sciences

… ►

p

here being the order of the Laguerre polynomial,

L^{(2l+1)}_{p}

of Table 18.8.1, line 11, and

l

the angular momentum quantum number, and where … ►thus recapitulating, for

Z=1

, line 11 of Table 18.8.1, now shown with explicit normalization for the measure

\,\mathrm{d}r

. … ►and thus replacing

p

n-l-1

as in Table 18.8.1, line 11, or as in (18.39.33), … ►Derivations of (18.39.42) appear in Bethe and Salpeter (1957, pp. 12–20), and Pauling and Wilson (1985, Chapter V and Appendix VII), where the derivations are based on (18.39.36), and is also the notation of Piela (2014, §4.7), typifying the common use of the associated Coulomb–Laguerre polynomials in theoretical quantum chemistry. …