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{{Short description|Online collection of special functions from NIST}}
{{Use dmy dates|date=June 2019|cs1-dates=y}}
{{Use dmy dates|date=June 2019|cs1-dates=y}}
{{Use list-defined references|date=December 2021}}
{{Use list-defined references|date=December 2021}}
The '''Digital Library of Mathematical Functions''' ('''DLMF''') is an online project at the [[National Institute of Standards and Technology]] (NIST) to develop a major resource of mathematical reference data for [[special functions]] and their applications. It is intended as an update of ''[[Abramowitz and Stegun|Abramowitz's and Stegun's Handbook of Mathematical Functions]]'' (A&S).<ref name="Boisvert_2011"/> It was published online<ref name="Online"/> 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'''''.<ref name="NIST_2010"/>
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 and Stegun|Abramowitz's and Stegun's Handbook of Mathematical Functions]]'' (A&S).<ref name="Boisvert_2011"/> It was published online<ref name="Online"/> 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'''''.<ref name="NIST_2010"/>


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 [[Copyright status of work by the U.S. government|Title 17 USC 105]] of the U.S. Code.<ref name="DLMF Notices"/>
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 [[Copyright status of work by the U.S. government|Title 17 USC 105]] of the U.S. Code.<ref name="DLMF Notices"/>
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{{reflist|refs=
{{reflist|refs=
<ref name="Boisvert_2011">{{cite journal |author-last1=Boisvert |author-first1=Ronald F. |author-first2=Charles W. |author-last2=Clark |author-first3=Daniel W. |author-last3=Lozier |author-first4=Frank William John |author-last4=Olver |author-link4=Frank William John Olver |title=A Special Functions Handbook for the Digital Age |journal=[[Notices of the American Mathematical Society]] |volume=58 |issue=7 |date=2011 |pages=905–911 |url=https://www.ams.org/notices/201107/rtx110700905p.pdf |access-date=2016-03-13 |url-status=live |archive-url=https://web.archive.org/web/20210909144026/https://www.ams.org/notices/201107/rtx110700905p.pdf |archive-date=2021-09-09}}</ref>
<ref name="Boisvert_2011">{{cite journal |author-last1=Boisvert |author-first1=Ronald F. |author-first2=Charles W. |author-last2=Clark |author-first3=Daniel W. |author-last3=Lozier |author-first4=Frank William John |author-last4=Olver |author-link4=Frank William John Olver |title=A Special Functions Handbook for the Digital Age |journal=[[Notices of the American Mathematical Society]] |volume=58 |issue=7 |date=2011 |pages=905–911 |url=https://www.ams.org/notices/201107/rtx110700905p.pdf |access-date=2016-03-13 |url-status=live |archive-url=https://web.archive.org/web/20210909144026/https://www.ams.org/notices/201107/rtx110700905p.pdf |archive-date=2021-09-09}}</ref>
<ref name="Online">https://dlmf.nist.gov/</ref>
<ref name="Online">{{cite web|url=https://dlmf.nist.gov/|title=NIST Digital Library of Mathematical Functions|publisher=[[National Institute of Standards and Technology]] (NIST)|access-date=July 24, 2023}}</ref>
<ref name="NIST_2010">{{cite book |title=NIST Handbook of Mathematical Functions |editor1-first=Frank William John |editor1-last=Olver |editor1-link=Frank William John Olver |editor2-first=Daniel W. |editor2-last=Lozier |editor3-first=Ronald F. |editor3-last=Boisvert |editor4-first=Charles W. |editor4-last=Clark |date=2010 |publisher=[[National Institute of Standards and Technology]] (NIST), [[U.S. Department of Commerce]], [[Cambridge University Press]] |isbn=978-0-521-19225-5 |mr=2723248}} [http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=9780521140638]</ref>
<ref name="NIST_2010">{{cite book |title=NIST Handbook of Mathematical Functions |editor1-first=Frank William John |editor1-last=Olver |editor1-link=Frank William John Olver |editor2-first=Daniel W. |editor2-last=Lozier |editor3-first=Ronald F. |editor3-last=Boisvert |editor4-first=Charles W. |editor4-last=Clark |date=2010 |publisher=[[National Institute of Standards and Technology]] (NIST), [[U.S. Department of Commerce]], [[Cambridge University Press]] |isbn=978-0-521-19225-5 |mr=2723248}} [http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=9780521140638]</ref>
<ref name="DLMF Notices">{{cite web |url=https://dlmf.nist.gov/about/notices |title=DLMF: Notices |publisher=NIST |access-date=2010-12-28}}</ref>
<ref name="DLMF Notices">{{cite web |url=https://dlmf.nist.gov/about/notices |title=DLMF: Notices |publisher=NIST |access-date=2010-12-28}}</ref>
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==External links==
==External links==
* [https://dlmf.nist.gov NIST Digital Library of Mathematical Functions]
* [https://dlmf.nist.gov NIST Digital Library of Mathematical Functions]
* [http://dlmf.nist.gov/errata/ Known errata in NIST DLMF]
* [http://dlmf.nist.gov/errata/ Corrected errors in NIST DLMF]


[[Category:Handbooks and manuals]]
[[Category:Handbooks and manuals]]

Latest revision as of 08:08, 19 August 2024

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]

See also

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References

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  1. ^ Boisvert, Ronald F.; Clark, Charles W.; Lozier, Daniel W.; Olver, Frank William John (2011). "A Special Functions Handbook for the Digital Age" (PDF). Notices of the American Mathematical Society. 58 (7): 905–911. Archived (PDF) from the original on 2021-09-09. Retrieved 2016-03-13.
  2. ^ "NIST Digital Library of Mathematical Functions". National Institute of Standards and Technology (NIST). Retrieved 2023-07-24.
  3. ^ Olver, Frank William John; Lozier, Daniel W.; Boisvert, Ronald F.; Clark, Charles W., eds. (2010). NIST Handbook of Mathematical Functions. National Institute of Standards and Technology (NIST), U.S. Department of Commerce, Cambridge University Press. ISBN 978-0-521-19225-5. MR 2723248. [1]
  4. ^ "DLMF: Notices". NIST. Retrieved 2010-12-28.

Further reading

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