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Abramowitz and Stegun information


Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
Cover of the ninth printing, 1970
AuthorMilton Abramowitz and Irene Stegun
LanguageEnglish
GenreMath
PublisherUnited States Department of Commerce, National Bureau of Standards (NBS)
Publication date
1964
Publication placeUnited States
ISBN0-486-61272-4
OCLC18003605

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 National Bureau of Standards (NBS), now the National Institute of Standards and Technology (NIST). Its full title is Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. A digital successor to the Handbook was released as the "Digital Library of Mathematical Functions" (DLMF) on 11 May 2010, along with a printed version, the NIST Handbook of Mathematical Functions, published by Cambridge University Press.[1]

  1. ^ Cite error: The named reference NIST_2010 was invoked but never defined (see the help page).

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Abramowitz and Stegun

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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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Bessel function

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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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List of trigonometric identities

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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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Exponential integral

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functions Abramowitz and Stegun, p. 228 Abramowitz and Stegun, p. 228, 5.1.1 Abramowitz and Stegun, p. 228, 5.1.4 with n = 1 Abramowitz and Stegun, p. 228...

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Irene Stegun

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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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Milton Abramowitz

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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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Helmholtz equation

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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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Mathematical table

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equals one nautical mile (approximately 1.852 km or 1.151 mi). Abramowitz and Stegun Handbook of Mathematical Functions BINAS, a Dutch science handbook...

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Handbook

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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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Falling and rising factorials

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functions (in particular the hypergeometric function) and in the standard reference work Abramowitz and Stegun, the Pochhammer symbol (x)n is used to represent...

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Von Mises distribution

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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 Borradaile, G. J. (2003). Statistics of...

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Airy function

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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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Stirling number

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} 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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As

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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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Elliptic integral

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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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Digamma function

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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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Incomplete gamma function

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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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Lists of integrals

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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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Lookup table

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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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Numerical analysis

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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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Gaussian quadrature

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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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Legendre form

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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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Error function

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}}}\sum _{n=0}^{\infty }{\frac {(-2)^{n}(2n-1)!!}{(2n+1)!}}z^{2n+1}} Abramowitz and Stegun give several approximations of varying accuracy (equations 7.1.25–28)...

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Logarithmic integral function

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Eric W. "Logarithmic Integral". MathWorld. Abramowitz and Stegun, p. 230, 5.1.20 Abramowitz, Milton; Stegun, Irene Ann, eds. (1983) [June 1964]. "Chapter...

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Handbook of mathematical functions

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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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Taylor series

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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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Equianharmonic

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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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