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Digital Library of Mathematical Functions information


The Digital Library of Mathematical Functions (DLMF) is an online project at the National Institute of Standards and Technology (NIST) to develop a database of mathematical reference data for special functions and their applications. It is intended as an update of Abramowitz's and Stegun's Handbook of Mathematical Functions (A&S).[1] It was published online[2] on 7 May 2010, though some chapters appeared earlier. In the same year it appeared at Cambridge University Press under the title NIST Handbook of Mathematical Functions.[3]

In contrast to A&S, whose initial print run was done by the U.S. Government Printing Office and was in the public domain, NIST asserts that it holds copyright to the DLMF under Title 17 USC 105 of the U.S. Code.[4]

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  2. ^ Cite error: The named reference Online was invoked but never defined (see the help page).
  3. ^ Cite error: The named reference NIST_2010 was invoked but never defined (see the help page).
  4. ^ Cite error: The named reference DLMF Notices was invoked but never defined (see the help page).

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Digital Library of Mathematical Functions

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The Digital Library of Mathematical Functions (DLMF) is an online project at the National Institute of Standards and Technology (NIST) to develop a database...

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Special functions

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the list of mathematical functions contains functions that are commonly accepted as special. Many special functions appear as solutions of differential...

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Abramowitz and Stegun

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the "Digital Library of Mathematical Functions" (DLMF) on 11 May 2010, along with a printed version, the NIST Handbook of Mathematical Functions, published...

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Digamma function

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4171/RSMUP/137-10. "NIST. Digital Library of Mathematical Functions (DLMF), 5.11". Pairman, Eleanor (1919). Tables of the Digamma and Trigamma Functions. Cambridge University...

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Mathematical universe hypothesis

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constructive mathematics, that is, computer programs; e.g., the Global Digital Mathematics Library and Digital Library of Mathematical Functions, linked open...

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Bessel function

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in Librow Function handbook. F. W. J. Olver, L. C. Maximon, Bessel Functions (chapter 10 of the Digital Library of Mathematical Functions). Moler, C...

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Jacobi elliptic functions

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et al., eds. (2017-12-22). "NIST Digital Library of Mathematical Functions (Release 1.0.17)". National Institute of Standards and Technology. Retrieved...

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Gamma function

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related functions. NIST Digital Library of Mathematical Functions:Gamma function Pascal Sebah and Xavier Gourdon. Introduction to the Gamma Function. In PostScript...

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Heaviside step function

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related to Heaviside function. Digital Library of Mathematical Functions, NIST, [1]. Berg, Ernst Julius (1936). "Unit function". Heaviside's Operational...

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Series acceleration

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ISBN 978-3-030-58417-7 (2020). Convergence acceleration of series GNU Scientific Library, Series Acceleration Digital Library of Mathematical Functions...

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Weierstrass elliptic function

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Elliptic and Modular Functions in DLMF (Digital Library of Mathematical Functions) by W. P. Reinhardt and P. L. Walker. Weierstrass P function and its derivative...

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Prolate spheroidal wave function

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Proceedings of the National Academy of Sciences (USA) 21 (1935) 51. "30.15 Spheroidal Wave Functions – Signal Analysis". Digital Library of Mathematical Functions...

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Faddeeva function

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(or Faddeyeva) function - 7.10 Derivatives". Digital Library of Mathematical Functions. National Institute of Standards and Technology. 2010. Retrieved June...

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Factorial moment

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Introduction to Combinatorial Analysis. Dover. p. 30. NIST Digital Library of Mathematical Functions. Retrieved 9 November 2013. P.V.Krishna Iyer. "A Theorem...

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Multinomial theorem

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(combinatorics) National Institute of Standards and Technology (May 11, 2010). "NIST Digital Library of Mathematical Functions". Section 26.4. Retrieved August...

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Lambert W function

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"Lambert W function", in Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (eds.), NIST Handbook of Mathematical Functions, Cambridge...

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Exponential integral

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_{m}(x)=E_{-m}(x).} Many properties of this generalized form can be found in the NIST Digital Library of Mathematical Functions. Including a logarithm defines...

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LaTeXML

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book-size documents. LaTeXML was started in the context of the Digital Library of Mathematical Functions at NIST, where LaTeX documents needed to be prepared...

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Confluent hypergeometric function

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Confluent Hypergeometric Functions in NIST Digital Library of Mathematical Functions Kummer hypergeometric function on the Wolfram Functions site Tricomi hypergeometric...

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Euler integral

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Digital Library of Mathematical Functions dlmf.nist.gov/5.2.1 relation 5.2.1 and dlmf.nist.gov/5.12 relation 5.12.1 This article includes a list of related...

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Neville theta functions

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The Mathematical Functions Site The Mathematical Functions Site Olver, F. W. J.; et al., eds. (2017-12-22). "NIST Digital Library of Mathematical Functions...

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Multivariate gamma function

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"Chapter 35 Functions of Matrix Argument". Digital Library of Mathematical Functions. Retrieved 23 May 2022. 1. James, A. (1964). "Distributions of Matrix...

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Bateman Manuscript Project

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Magnus and Oberhettinger (MO) NIST Handbook of Mathematical Functions Digital Library of Mathematical Functions (DLMF) Erdélyi, Arthur; Magnus, (Hans Heinrich)...

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