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1: Guide to Searching the DLMF
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Table 1: Query Examples
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►Sometimes there are distinctions between various special function names based on font style, such as the use of bold or calligraphic letters.
DLMF search recognizes just the essential font differences, that is, the font style differences deemed important for the DLMF contents:
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►If you don’t specify the font style or font accessories in the query, the style and accessories won’t matter in the search, but if you specify them, they will matter.
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Query | Matching records contain |
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int prec/10 sin(x) |
preceding by no more than 10 terms. |
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2: 10 Bessel Functions
Chapter 10 Bessel Functions
…3: 11 Struve and Related Functions
Chapter 11 Struve and Related Functions
…4: 29 Lamé Functions
Chapter 29 Lamé Functions
…5: Staff
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Leonard C. Maximon, George Washington University, Chaps. 10, 34
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
6: Publications
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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.
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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.
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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.
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7: 26.2 Basic Definitions
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8: 26.9 Integer Partitions: Restricted Number and Part Size
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9: 25.20 Approximations
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Cody et al. (1971) gives rational approximations for in the form of quotients of polynomials or quotients of Chebyshev series. The ranges covered are , , , . Precision is varied, with a maximum of 20S.