• Thumbnail for Abramowitz and Stegun
    Abramowitz and Stegun (AS) is the informal name of a 1964 mathematical reference work edited by Milton Abramowitz and Irene Stegun of the United States...
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  • Thumbnail for Bessel function
    178. Abramowitz and Stegun, p. 358, 9.1.3, 9.1.4. Abramowitz and Stegun, p. 358, 9.1.6. Abramowitz and Stegun, p. 360, 9.1.25. Abramowitz and Stegun, p...
    71 KB (11,565 words) - 03:14, 10 October 2024
  • Thumbnail for List of trigonometric identities
    2019-10-12. Abramowitz and Stegun, p. 72, 4.3.19 Abramowitz and Stegun, p. 80, 4.4.32 Abramowitz and Stegun, p. 80, 4.4.33 Abramowitz and Stegun, p. 80, 4...
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  • Thumbnail for Irene Stegun
    and Technology) who edited a classic book of mathematical tables called A Handbook of Mathematical Functions, widely known as Abramowitz and Stegun....
    10 KB (950 words) - 17:42, 23 March 2024
  • Thumbnail for Milton Abramowitz
    Irene Stegun, edited a classic book of mathematical tables called Handbook of Mathematical Functions, widely known as Abramowitz and Stegun. Abramowitz died...
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  • Thumbnail for Exponential integral
    retrieved 2023-05-04 Abramowitz and Stegun, p. 229, 5.1.20 Abramowitz and Stegun, p. 228, see footnote 3. Abramowitz and Stegun, p. 230, 5.1.45 After...
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  • and diffusion equation. Here jℓ(kr) and yℓ(kr) are the spherical Bessel functions, and Ym ℓ(θ, φ) are the spherical harmonics (Abramowitz and Stegun,...
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  • Thumbnail for Disk (mathematics)
    Abramowitz and Stegun, 17.3. Gradshteyn and Ryzhik 3.155.7 and 3.169.9, taking due account of the difference in notation from Abramowitz and Stegun....
    10 KB (1,674 words) - 19:31, 9 August 2024
  • 0}+3h\\&x_{4}=x_{0}+4h=b\end{aligned}}} It is expressed thus in Abramowitz and Stegun: ∫ x 0 x 4 f ( x ) d x = 2 h 45 [ 7 f ( x 0 ) + 32 f ( x 1 ) + 12...
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  • satisfy g2 = 0 and g3 = 1. This page follows the terminology of Abramowitz and Stegun; see also the lemniscatic case. (These are special examples of complex...
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  • functions (in particular the hypergeometric function) and in the standard reference work Abramowitz and Stegun, the Pochhammer symbol ( x ) n {\displaystyle (x)_{n}}...
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  • Thumbnail for Handbook
    Handbook (category Handbooks and manuals)
    Engineers, and the CRC Handbook of Chemistry and Physics. Enchiridion Guide book Manual (disambiguation) Oxford Companions Textbook Abramowitz and Stegun Handbook...
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  • Thumbnail for Mathematical table
    707573. ISSN 1058-6180. Abramowitz and Stegun Handbook of Mathematical Functions, Introduction §4 E. R. Hedrick, Logarithmic and Trigonometric Tables (Macmillan...
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  • of Mathematical Functions (with Formulas, Graphs, and Mathematical Tables) aka Abramowitz and Stegun, a mathematical textbook published in 1964 NIST Handbook...
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  • Stirling number (category Factorial and binomial topics)
    } Abramowitz and Stegun use an uppercase S {\displaystyle S} and a blackletter S {\displaystyle {\mathfrak {S}}} , respectively, for the first and second...
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  • Thumbnail for Von Mises distribution
    Statistics. Wiley. ISBN 978-0-471-95333-3. see Abramowitz and Stegun §9.6.34 See Abramowitz and Stegun §9.6.19 Mardia, K. V.; Jupp, P. E. (2000). "Directional...
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  • other mathematical handbooks. Other useful resources include Abramowitz and Stegun and the Bateman Manuscript Project. Both works contain many identities...
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  • Thumbnail for Airy function
    listed in (Abramowitz and Stegun, 1983) and (Olver, 1974). One is also able to obtain asymptotic expressions for the derivatives Ai'(z) and Bi'(z). Similarly...
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  • Thumbnail for Parabolic cylinder function
    of the form (A). These are given by (following the notation of Abramowitz and Stegun (1965)): y 1 ( a ; z ) = exp ⁡ ( − z 2 / 4 ) 1 F 1 ( 1 2 a + 1 4...
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  • Attosiemens or aS, 10−18 siemens, a subunit of electric conductance Abramowitz and Stegun, a mathematical reference work Aggregate supply, in economics, the...
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  • in elliptic integrals and much of the notation is compatible with that used in the reference book by Abramowitz and Stegun and that used in the integral...
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  • Thumbnail for Taylor series
    1970, p. 14. Abramowitz & Stegun 1970, p. 15. Abramowitz & Stegun 1970, p. 75, 81. Abramowitz & Stegun 1970, p. 75. Abramowitz & Stegun 1970, p. 85. Hörmander...
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  • as Numerical Recipes. The choice of sign is that of Abramowitz and Stegun as well as Gradshteyn and Ryzhik, but corresponds to the Π ( ϕ , − n , k ) {\displaystyle...
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  • Thumbnail for Numerical analysis
    and achieve very good numerical estimates of some functions. The canonical work in the field is the NIST publication edited by Abramowitz and Stegun,...
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  • "expensive" computation or input/output operation. The tables may be precalculated and stored in static program storage, calculated (or "pre-fetched") as part of...
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  • Thumbnail for Digamma function
    Digamma function (category Gamma and related functions)
    function, valid in the complex plane outside the negative integers (Abramowitz and Stegun 6.3.16): ψ ( z + 1 ) = − γ + ∑ n = 1 ∞ ( 1 n − 1 n + z ) , z ≠ −...
    35 KB (7,084 words) - 00:30, 21 August 2024
  • Thumbnail for Gaussian quadrature
    Abramowitz & Stegun 1983, p. 888 Quarteroni, Sacco & Saleri 2000 Gander & Gautschi 2000 MathWorks 2012 Eaton et al. 2018 Abramowitz, Milton; Stegun,...
    42 KB (6,802 words) - 21:48, 19 September 2024
  • Thumbnail for Incomplete gamma function
    Incomplete gamma function (category Gamma and related functions)
    Approximations and Expansions ‣ Incomplete Gamma Functions ‣ Chapter 8 Incomplete Gamma and Related Functions". dlmf.nist.gov. Abramowitz and Stegun p. 263,...
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  • Matérn covariance function (category Covariance and correlation)
    probability and statistics XLIX On the Matern correlation family," Biometrika, Biometrika Trust, vol. 93(4), pages 989-995, December. Abramowitz and Stegun (1965)...
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  • Thumbnail for Confluent hypergeometric function
    Cambridge University Press. ISBN 978-0521789882.. This is derived from Abramowitz and Stegun (see reference below), page 508, where a full asymptotic series...
    24 KB (4,566 words) - 19:59, 11 August 2024