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Topic: Abramowitz and Stegun

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	SHAZAM Algorithms (Site not responding. Last check: 2007-11-07)
		The inverse of the standard normal distribution is calculated with the method by Gebhardt [1964] and Abramowitz and Stegun [1964, p.
		An approximation to the inverse of the t-distribution is calculated with the method by Abramowitz and Stegun [1964, p.
		An approximation to the inverse of the F-distribution is calculated with the method by Abramowitz and Stegun [1964, p.
	shazam.econ.ubc.ca /intro/algo.htm (436 words)

	Cumulative Distribution Functions, Inverses, Random variables (Site not responding. Last check: 2007-11-07)
		Formula 26.6.2 of Abramowitz and Stegun, Handbook of Mathematical Functions (1966) is used to reduce the computation of the cumulative distribution function for the F variate to that of an incomplete beta.
		Formula 26.5.26 of Abramowitz and Stegun, Handbook of Mathematical Functions (1966) is used to reduce calculation of the cumulative distribution function to that of an incomplete beta.
		Formula 26.4.21 of Abramowitz and Stegun, Handbook of Mathematical Functions (1966) is used to reduce the computation of the cumulative distribution function to that of computing a chi-square, hence an incomplete gamma function.
	pauillac.inria.fr /cdrom_a_graver/www/scilab/doc/manual/docu017.html (3539 words)

	Index
		This is the inverse of the cos function as described in Abramowitz and Stegun, section 4.4.
		This is the multi-valued inverse of the sin function as described in Abramowitz and Stegun, section 4.4.
		This is the inverse of the tan function as described in Abramowitz and Stegun, section 4.4.
	om-candidate.activemath.org /cdindex.html (14533 words)

	Reviews of the Atlas
		Atlas is roughly comparable to that provided by Abramowitz and Stegun: gamma and beta functions, combinatorial and number-theoretic functions, probability distributions, standard integral functions, error functions, orthogonal polynomials, Legendre and Bessel functions, spheroidal and coulomb wave functions, elliptic integrals and functions, parabolic cylinder functions, and a chapter of miscellaneous functions primarily from physics.
		However, the shortage of analytical properties is compensated for by a section called “Visualization” that presents several two- and three-dimensional graphical representations of the functions.
		Abramowitz and Stegun’s tables have been replaced by Fortran and C programs, and their graphs have been supplanted by user-customizable three-
	www.unc.edu /~wjt/Reviews.htm (1502 words)

	Manual do Maxima: 63. orthopoly
		Finally, be aware that reference books vary on the definitions of the orthogonal polynomials; we've generally used the conventions of conventions of Abramowitz and Stegun.
		Reference: Abramowitz and Stegun, equations 22.5.37, page 779, 8.6.6 (second equation), page 334, and 8.2.5, page 333.
		Reference: Abramowitz and Stegun, equation 8.5.3 and 8.1.8.
	maxima.sourceforge.net /docs/manual/pt/maxima_63.html (2304 words)

	Maxima Manual: 17. Elliptic Functions
		Definitions of these functions and many of their properties can by found in Abramowitz and Stegun, Chapter 16-17.
		In particular, all elliptic functions and integrals use the parameter m instead of the modulus k or the modular angle \alpha.
		This is one area where we differ from Abramowitz and Stegun who use the modular angle for the elliptic functions.
	maxima.sourceforge.net /docs/manual/en/maxima_17.html (413 words)

	A survey of tables of probability distributions Journal of Research of the National Institute of Standards and ...
		Reference tables of probability distributions continued to be published from the 1920s through the 1980s and early 1990s.
		Abramowitz and Stegun [1] surveyed the tables published before 1964, and reproduced some of them.
		In particular, Abramowitz and Stegun [1] reproduced the tables of percentiles of chi-square, t-, and F-distributions from the 1954 edition of Pearson and Hartley [2].
	www.findarticles.com /p/articles/mi_m0IKZ/is_1_110/ai_n13667736 (780 words)

	transc1
		They are defined as in Abromowitz and Stegun (ninth printing on), with precise reductions to logs in the case of inverse functions.
		This symbol represents the sec function as described in Abramowitz and Stegun, section 4.3.
		This symbol represents the sinh function as described in Abramowitz and Stegun, section 4.5.
	www.win.tue.nl /~amc/oz/om/cds/transc1.html (2283 words)

	Abramowitz and Stegun - Wikipedia, the free encyclopedia
		Abramowitz and Stegun is the informal name of a mathematical reference work edited by Milton Abramowitz and Irene Stegun of the U.S. National Bureau of Standards (now the National Institute of Standards and Technology).
		While it can be ordered from the Government Printing Office, it has also been reprinted by commercial publishers, most notably Dover Publications (ISBN 0-486-61272-4), and can be legally viewed and downloaded off the web.
		@Book{abramowitz+stegun, author = "Milton Abramowitz and Irene A. Stegun", title = "Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables", publisher = "Dover", year = 1964, address = "New York", edition = "ninth Dover printing, tenth GPO printing", isbn = "0-486-61272-4" }
	en.wikipedia.org /wiki/Abramowitz_and_Stegun (394 words)

	Read This: Airy Functions and Applications to Physics
		Many other fundamental properties are merely quoted, often with a reference to Abramowitz and Stegun, which does not prove them either.
		They miscopy (2.37) and (2.38) from Abramowitz and Stegun, forgetting that Ai'(0) is negative.
		They also take (2.36), which they call the "Expansion of Ai(x) near the origin", from Copson's book on asymptotics, not only failing to remark that it must be the same thing as (2.37), but apparently meaning to imply that they are different.
	www.maa.org /reviews/AiryFunction.html (991 words)

	Maxima Manual - Orthogonal Polynomials (Site not responding. Last check: 2007-11-07)
		The following table lists each function in specfun, its Maxima name, restrictions on its arguments (m and n must be integers), and a reference to the algorithm specfun uses to evaluate it.
		With few exceptions, specfun follows the conventions of Abramowitz and Stegun.
		A&S refers to Abramowitz and Stegun, Handbook of Mathematical Functions (10th printing, December 1972), G&R to Gradshteyn and Ryzhik, Table of Integrals, Series, and Products (1980 corrected and enlarged edition), and Merzbacher to Quantum Mechanics (2ed, 1970).
	www.ma.utexas.edu /maxima/maxima_16.html (1215 words)

	Abramowitz and Stegun: Handbook of Mathematical Functions (Site not responding. Last check: 2007-11-07)
		You can download an copy of Abramowitz and Stegun: Handbook of Mathematical Functions as a tar.gz archive.
		This is a 43 MiB file (md5sum: e6ca7451af4e4ffad42aa6b8deb552c7).
		Abramowitz and Stegun: Handbook of Mathematical Functions is a work commissioned by the government of the United States of America and, to the best of my knowledge, is not under copyright.
	www.math.sfu.ca /~cbm/aands (250 words)

	Recursive Algorithms: A Mixed Blessing -- from Mathematica Information Center
		I became particularly interested in two of the repetition patterns for mathematics and computing--iteration and recursion--while devising algorithms for one of my current projects, the Atlas for Computing Mathematical Functions.
		This handbook and accompanying Mathematica and C programs comprise a visual (700 graphics) and computational (200 functions) tour of special functions, such as those in Abramowitz and Stegun, Spanier and Oldham, or Erdelyi et al.
		Here I describe first the usual understanding of the distinction between iteration and recursion, then I show some failures and successes of recursive algorithms for symbolic and numerical computations.
	library.wolfram.com /infocenter/Articles/2367 (143 words)

	besseli, besselk (MATLAB Function Reference)
		generates the entire table on page 423 of [1] Abramowitz and Stegun,
		generates part of the table on page 424 of [1] Abramowitz and Stegun, Handbook of Mathematical Functions.
		[1] Abramowitz, M. and I.A. Stegun, Handbook of Mathematical Functions, National Bureau of Standards, Applied Math.
	www.cs.berkeley.edu /titan/sww/software/matlab/techdoc/ref/besseli.html (303 words)

	Updating Abramowitz & Stegun
		A project is underway at the US National Institute of Standards and Technology (NIST) to develop a replacement for the Handbook of Mathematical Functions, commonly known as ‘Abramowitz and Stegun’, after its principal editors.
		This will be a major new mathematical reference source on the World Wide Web for special functions and their applications.
		The project is expected to be completed by 2003.
	www.ercim.org /publication/Ercim_News/enw46/temme.html (417 words)

	The On-Line Encyclopedia of Integer Sequences
		This is the "Abramowitz and Stegun" ordering of the partitions, referenced in numerous other sequences.
		The partitions are in reverse order of the conjugates of the partitions in Mathematica order (A080577).
		A. Abramowitz and I. Stegun, eds., Handbook of Mathematical Functions
	www.research.att.com /~njas/sequences/A036036 (127 words)

	Ars Mathematica » Blog Archive » Abramowitz and Stegun
		Ars Mathematica » Blog Archive » Abramowitz and Stegun
		Abramowitz and Stegun’s Handbook of Mathematical Functions, long the standard reference on special functions, is online.
		Some brave soul scanned in each page from the book (which is in the public domain).
	www.arsmathematica.net /archives/2005/06/21/abramowitz-and-stegun (102 words)

	Shapiro Science Library - Mathematics Subject Guide
		Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, volume 55 of National Bureau of Standards Applied Mathematics Series by M. Abramowitz and I. Stegun.
		A project that is underway at NIST to replace the Abramowitz and Stegun Handbook of Mathematical Functions.
		The project began in 1999 and the first 20 chapters are due in 2001.
	www.lib.umich.edu /science/math (1423 words)

	Annotations to Abramowitz & Stegun
		The following is a compendium of additions and margin notes to the Handbook of Mathematical Functions by Abramowitz and Stegun (Dover 1972 edition), culled from personal annotations I have made to that reference over the years.
		I have found these formulas useful and handy to have around.
		Note this is a formal (divergent) sum that can be made meaningful through regularization.
	linas.org /art-gallery/abramowitz/html/AS-annotions.html (671 words)

	Your UVM Website Template 10_02_02
		This is a 43 MB file (44829442 bytes).
		Untar it somewhere and open the index.htm file in your browser.
		Abramowitz and Stegun: Handbook of Mathematical Functions ONLINE
	www.emba.uvm.edu /~ffedele/index5_links.html (102 words)

	Applied Mathematics Series 55
		Professors J. Todd and A. Erddlyi, panel members of the Conferences on Tables and members of the Advisory Committee have maintained an un- diminished interest, offered many suggestions and carefully read all the chapters.
		Irene A. Stegun has served effectively as associate editor, sharing in each stage of the planning of the volume.
		Without her untiring efforts, com- pletion would never have been possible.
	www.convertit.com /Go/ConvertIt/Reference/AMS55.ASP (466 words)

	Gaussian distribution: FAQ. D'Errico.
		(This approximation is also from Abramowitz and Stegun.) t = sqrt[ ln(1/p^2) ] c_0 + c_1t + c_2t^2 X = t - ------------------------------ 1 + d_1t + d_2t^2 + d_3t^3 c_0 = 2.515517 c_1 = 0.802853 c_2 = 0.010328 d_1 = 1.432788 d_2 = 0.189269 d_3 = 0.001308 See Abramowitz* and Stegun; Press, et al.
		How do you generate a normally distributed random variable?
		Abramowitz & Stegun, "Handbook of Mathematical Functions", Dover Publications, 1965 (originally published by the National Bureau of Standards, 1964) 2.
	www.pitt.edu /~wpilib/statfaq/gaussfaq.html (1510 words)

	[No title] (Site not responding. Last check: 2007-11-07)
		Professor Davis has been and remains a prolific writer.
		As part of his work at the National Bureau of Standards, he took a prominent role in the writing and planning of the Handbook of Mathematical Functions, a.k.a., Abramowitz and Stegun.
		This reference work sold hundreds of thousands of copies.
	www.dam.brown.edu /people/davis (475 words)

	[No title]
		"Perhaps an online version of Abramowitz added to Maple would be very helpful?"
		Abramowitz and Stegun: Extensions II Add links to relevant web sites, or include if possible
		Abramowitz and Stegun: Recommendations II Create style guide for authors Example: cross-platform functionality requires:
	dlmf.nist.gov /about/Events/zwillinger-1998-06.slides.html (1182 words)

	NSDL Metadata Record -- “According to Abramowitz and Stegun” or arccoth needn't be uncouth
		NSDL Metadata Record -- andldquo;According to Abramowitz and Stegunandrdquo; or arccoth needn't be uncouth
		andldquo;According to Abramowitz and Stegunandrdquo; or arccoth needn't be uncouth
		“According to Abramowitz and Stegun” or arccoth needn't be uncouth
	nsdl.org /mr/555109 (43 words)

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