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21—25 of 25 matching pages

21: Bibliography K

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T. H. Koornwinder (2007a) The relationship between Zhedanov’s algebra

{\rm AW}(3)

and the double affine Hecke algebra in the rank one case. SIGMA 3, pp. Paper 063, 15 pp..

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External Links:: ISSN 1815-0659, Link, MathReview (James W. Parkinson), ZentralBlatt
Referenced by:: §18.38(iii), §18.38(iii), §18.38(iii).
Encodings:: BibTeX

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22: Bibliography L

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J. Lehner (1941) A partition function connected with the modulus five. Duke Math. J. 8 (4), pp. 631–655.

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External Links:: Document, MathReview (R. D. James), ZentralBlatt
Referenced by:: §17.18.
Encodings:: BibTeX

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23: Errata

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Equation (9.7.2)

Following a suggestion from James McTavish on 2017-04-06, the recurrence relation $u_{k}=\frac{(6k-5)(6k-3)(6k-1)}{(2k-1)216k}u_{k-1}$ was added to Equation (9.7.2).

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Figure 4.3.1

This figure was rescaled, with symmetry lines added, to make evident the symmetry due to the inverse relationship between the two functions.

Reported 2015-11-12 by James W. Pitman.

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Equation (34.3.7)

34.3.7

\begin{pmatrix}j_{1}&j_{2}&j_{3}\\ j_{1}&-j_{1}-m_{3}&m_{3}\end{pmatrix}=(-1)^{j_{1}-j_{2}-m_{3}}\left(\frac{(2j_% {1})!(-j_{1}+j_{2}+j_{3})!(j_{1}+j_{2}+m_{3})!(j_{3}-m_{3})!}{(j_{1}+j_{2}+j_{% 3}+1)!(j_{1}-j_{2}+j_{3})!(j_{1}+j_{2}-j_{3})!(-j_{1}+j_{2}-m_{3})!(j_{3}+m_{3% })!}\right)^{\frac{1}{2}}

In the original equation the prefactor of the above 3j symbol read $(-1)^{-j_{2}+j_{3}+m_{3}}$ . It is now replaced by its correct value $(-1)^{j_{1}-j_{2}-m_{3}}$ .

Reported 2014-06-12 by James Zibin.

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Equation (23.2.4)

23.2.4

\wp\left(z\right)=\frac{1}{z^{2}}+\sum_{w\in\mathbb{L}\setminus\{0\}}\left(% \frac{1}{(z-w)^{2}}-\frac{1}{w^{2}}\right)

Originally the denominator $(z-w)^{2}$ was given incorrectly as $(z-w^{2})$ .

Reported 2012-02-16 by James D. Walker.

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L. Durand (1975) Nicholson-type Integrals for Products of Gegenbauer Functions and Related Topics. In Theory and Application of Special Functions (Proc. Advanced Sem., Math. Res. Center, Univ. Wisconsin, Madison, Wis., 1975), R. A. Askey (Ed.), pp. 353–374. Math. Res. Center, Univ. Wisconsin, Publ. No. 35.

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External Links:: MathReview (K. M. Saksena), ZentralBlatt
Referenced by:: (12.12.4), §12.12, §18.17(iii), §18.17(iii).
Encodings:: BibTeX

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25: Bibliography B

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B. C. Berndt (1975b) Periodic Bernoulli numbers, summation formulas and applications. In Theory and Application of Special Functions (Proc. Advanced Sem., Math. Res. Center, Univ. Wisconsin, Madison, Wis., 1975), pp. 143–189.

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External Links:: MathReview (L. Carlitz), ZentralBlatt
Referenced by:: §24.16(iii), §24.8(ii).
Encodings:: BibTeX

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