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31—40 of 248 matching pages
31: Peter L. Walker
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32: Staff
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William P. Reinhardt, University of Washington, Chaps. 20, 22, 23
Peter L. Walker, American University of Sharjah, Chaps. 20, 22, 23
William P. Reinhardt, University of Washington, for Chaps. 20, 22, 23
Peter L. Walker, American University of Sharjah, for Chaps. 20, 22, 23
33: Bibliography N
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On an integral transform involving a class of Mathieu functions.
SIAM J. Math. Anal. 20 (6), pp. 1500–1513.
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Reduction and evaluation of elliptic integrals.
Math. Comp. 20 (94), pp. 223–231.
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On the large argument asymptotics of the Lommel function via Stieltjes transforms.
Asymptot. Anal. 91 (3-4), pp. 265–281.
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Error Bounds for the Large-Argument Asymptotic Expansions of the Hankel and Bessel Functions.
Acta Appl. Math. 150, pp. 141–177.
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A table of integrals of the error functions.
J. Res. Nat. Bur. Standards Sect B. 73B, pp. 1–20.
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34: 5.22 Tables
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►Abramowitz and Stegun (1964, Chapter 6) tabulates , , , and for to 10D; and for to 10D; , , , , , , , and for to 8–11S; for to 20S.
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►This reference also includes for the same arguments to 5D.
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35: Viewing DLMF Interactive 3D Graphics
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►Users can render a 3D scene and interactively rotate, scale, and otherwise explore a function surface.
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36: Software Index
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Open Source | With Book | Commercial | |||||||||||||||||||||||
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16.27(ii) Real Arguments | ✓ | ✓ | ✓ | ✓ | a | ✓ | ✓ | ✓ | ✓ | ||||||||||||||||
16.27(iii) Complex Arguments | ✓ | a | ✓ | ✓ | ✓ | ✓ | |||||||||||||||||||
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20 Theta Functions | |||||||||||||||||||||||||
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22.22(ii) Real Argument | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |||||||||
22.22(iii) Complex Argument | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | a | ✓ | |||||||||||||||
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37: 24.20 Tables
38: 22.19 Physical Applications
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22.19.2
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22.19.3
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►The classical rotation of rigid bodies in free space or about a fixed point may be described in terms of elliptic, or hyperelliptic, functions if the motion is integrable (Audin (1999, Chapter 1)).
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39: Philip J. Davis
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►After receiving an overview of the project and watching a short demo that included a few preliminary colorful, but static, 3D graphs constructed for the first Chapter, “Airy and Related Functions”, written by Olver, Davis expressed the hope that designing a web-based resource would allow the team to incorporate interesting computer graphics, such as function surfaces that could be rotated and examined.
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►DLMF users can rotate, rescale, zoom and otherwise explore mathematical function surfaces.
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