A. Berkovich and B. M. McCoy (1998)Rogers-Ramanujan Identities: A Century of Progress from Mathematics to Physics.
In Proceedings of the International Congress of Mathematicians,
Vol. III (Berlin, 1998),
pp. 163–172.
M. V. Berry (1975)Cusped rainbows and incoherence effects in the rippling-mirror model for particle scattering from surfaces.
J. Phys. A8 (4), pp. 566–584.
J. M. Borwein and P. B. Borwein (1987)Pi and the AGM, A Study in Analytic Number Theory and Computational Complexity.
Canadian Mathematical Society Series of Monographs and
Advanced Texts, John Wiley & Sons Inc., New York.
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►One source of confusion, rather than actual errors, are some new functions which differ from those in Abramowitz and Stegun (1964) by scaling, shifts or constraints on the domain; see the Info box (click or hover over the icon) for links to defining formula.
…Errors in the printed Handbook may already have been corrected in the online version; please consult Errata.
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►When citing DLMF from a formal publication, we suggest a format similar to the following:
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►Citations from other electronic media (the web, email, …), should, of course, use the appropriate means to give the site URL (https://dlmf.nist.gov/), or specific Permalinks.
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►The direct correspondence between the reference numbers in the printed Handbook and the permalinks used online in the DLMF enables readers of either version to cite specific items and their readers to easily look them up again — in either version!
►The following table outlines the correspondence between reference numbers as they appear in the Handbook, and the URL’s that find the same item online.
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►degrees in mathematics from the University of London in 1945, 1948, and 1961, respectively.
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►In 1989 the conference “Asymptotic and Computational Analysis” was held in Winnipeg, Canada, in honor of Olver’s 65th birthday, with Proceedings published by Marcel Dekker in 1990.
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►Most notably, he served as the Editor-in-Chief and Mathematics Editor of the onlineNIST Digital Library of Mathematical Functions and its 966-page print companion, the NIST Handbook of Mathematical Functions (Cambridge University Press, 2010).
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D. R. Lide (ed.), A Century of Excellence in Measurement, Standards, and Technology,
CRC Press, 2001. The success of the original handbook, widely referred to as “Abramowitz and Stegun” (“A&S”), derived not only from the fact that it provided critically useful scientific data in a highly accessible format, but also because it served to standardize definitions and notations for special functions.
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►The online version, the NIST Digital
Library of Mathematical Functions (DLMF), presents the same technical information along with extensions and innovative interactive features consistent with the new medium.
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►Particular attention is called to the generous support of the National Science Foundation, which made possible the participation of experts from academia and research institutes worldwide.
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These are collections of software (e.g. libraries) or interactive systems of
a somewhat broad scope. Contents may be adapted from research software or may
be contributed by project participants who donate their services to the project.
The software is made freely available to the public, typically in source code form.
While formal support of the collection may not be provided by its developers,
within active projects there is often a core group who
donate time to consider bug reports and make updates to the collection.
Such software ranges from a collection of reusable software
parts (e.g., a library) to fully functional interactive computing environments
with an associated computing language. Such software is usually professionally
developed, tested, and maintained to high standards. It is available for purchase,
often with accompanying updates and consulting support.
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►Figure 1: The Editors and 9 of the 10 Associate Editors of the DLMF Project (photo taken at 3rd Editors Meeting, April, 2001).
The front row, from left to right: Ronald F.
…The back row, from left to right: William P.
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►These products resulted from the leadership of the Editors and Associate Editors pictured in Figure 1; the contributions of 29 authors, 10 validators, and 5 principal developers; and assistance from a large group of contributing developers, consultants, assistants and interns.
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►It was fortunate that the project had already recruited Adri Olde Daalhuis from the University of Edinburgh in 2012 to serve as an additional Mathematics Editor.
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►They were selected as recognized leaders in the research communities interested in the mathematics and applications of special functions and orthogonal polynomials; in the presentation of mathematics reference information online and in handbooks; and in the presentation of mathematics on the web.
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►As a condition of using the DLMF, you explicitly release NIST from any and all liabilities for any damage of any type that may result from errors or omissions in the DLMF.
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Index of Selected Software Within the DLMF Chapters
Within each of the DLMF chapters themselves we will provide a list of
research software for the functions discussed in that chapter.
The purpose of these listings is to provide references to the research
literature on the engineering of software for special functions.
To qualify for listing, the development of the software must have been the subject
of a research paper published in the peer-reviewed literature. If such software
is available online for free download we will provide a link to the software.
In general, we will not index other software within DLMF chapters unless
the software is unique in some way, such as being the only known software
for computing a particular function.
In association with the DLMF we will provide an index of all software for the
computation of special functions covered by the DLMF. It is our intention that
this will become an exhaustive list of sources of software for special functions.
In each case we will maintain a single link where readers can obtain more information
about the listed software. We welcome requests from software authors
(or distributors) for new items to list.
Note that here we will only include software with capabilities that go beyond the
computation of elementary functions in standard precisions since such software is
nearly universal in scientific computing environments.
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►He was the Dean of the Faculty of Science and Engineering from 1998 to 2004.
From 2004 to 2006, he was Dean of Research and Graduate Studies.
From 2006 to 2009, he was Vice-President (Research)/Dean of Graduate Studies.
From 2009 to early 2015, he served as Vice-President for Development and External Relations.
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►He was recipient of the Killam Research Fellowship from the Canada Council in 1982–1984, and of the Rh Award for Outstanding Contributions to Scholarship and Research from the University of Manitoba in 1984.
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![[Uncaptioned image]](../help/g3.png){kind=small}
icon) for links to defining formula.
…Errors in the printed Handbook may already have been corrected in the online version; please consult Errata.
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