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1: 24.1 Special Notation
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Bernoulli Numbers and Polynomials
►The origin of the notation , , is not clear. … ►Euler Numbers and Polynomials
… ►Its coefficients were first studied in Euler (1755); they were called Euler numbers by Raabe in 1851. The notations , , as defined in §24.2(ii), were used in Lucas (1891) and Nörlund (1924). …2: Viewing DLMF Interactive 3D Graphics
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►WebGL is supported in the current versions of most common web browsers.
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►1, some advanced features of X3DOM are currently not fully supported (see x3dom.org).
Until these issues are resolved we cannot guarantee that the DLMF WebGL visualizations can be viewed in Internet Explorer.
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►Please see caniuse.com/webgl or x3dom.org for information on WebGL browser support.
3: Need Help?
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Browser Issues
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DLMF pages look all messed up! See Browsers, or perhaps About MathML.
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I’m seeing things like or or ?; Or, My browser claims that I am missing fonts! See Special fonts for MathML.
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What’s this ‘MathML’, anyway? See About MathML.
4: Bibliography X
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Prolate spheroidal wavefunctions, quadrature and interpolation.
Inverse Problems 17 (4), pp. 805–838.
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5: DLMF Project News
error generating summary6: 27.18 Methods of Computation: Primes
§27.18 Methods of Computation: Primes
►An overview of methods for precise counting of the number of primes not exceeding an arbitrary integer is given in Crandall and Pomerance (2005, §3.7). …An analytic approach using a contour integral of the Riemann zeta function (§25.2(i)) is discussed in Borwein et al. (2000). … ►These algorithms are used for testing primality of Mersenne numbers, , and Fermat numbers, . …7: 26.11 Integer Partitions: Compositions
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denotes the number of compositions of , and is the number of compositions into exactly
parts.
is the number of compositions of with no 1’s, where again .
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26.11.1
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►The Fibonacci numbers are determined recursively by
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►Additional information on Fibonacci numbers can be found in Rosen et al. (2000, pp. 140–145).
8: Mathematical Introduction
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►The NIST Handbook has essentially the same objective as the Handbook of Mathematical Functions that was issued in 1964 by the National Bureau of Standards as Number 55 in the NBS Applied Mathematics Series (AMS).
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►For equations or other technical information that appeared previously in AMS 55, the DLMF usually includes the corresponding AMS 55 equation number, or other form of reference, together with corrections, if needed.
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or | half-closed intervals. |
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set of all positive integers. | |
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set of all rational numbers. | |
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