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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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...
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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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and Technology) who edited a classic book of mathematical tables called A Handbook of Mathematical Functions, widely known as Abramowitz and Stegun....
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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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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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Helmholtz equation (section Motivation and uses)
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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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....
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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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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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Mathematical table (section History and use)
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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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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Lists of integrals (redirect from Prudnikov, Brychkov and Marichev)
other mathematical handbooks. Other useful resources include Abramowitz and Stegun and the Bateman Manuscript Project. Both works contain many identities...
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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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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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As (section Art, entertainment, and media)
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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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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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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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 ≠ −...
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Abramowitz & Stegun 1983, p. 888 Quarteroni, Sacco & Saleri 2000 Gander & Gautschi 2000 MathWorks 2012 Eaton et al. 2018 Abramowitz, Milton; Stegun,...
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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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Confluent hypergeometric function (section Connection with Laguerre polynomials and similar representations)
Cambridge University Press. ISBN 978-0521789882.. This is derived from Abramowitz and Stegun (see reference below), page 508, where a full asymptotic series...
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