{{short description|American mathematician}} {{Use mdy dates|date=December 2023|cs1-dates=y}} {{use list-defined references|date=January 2022}} '''Victor Hugo Moll''' (born 1956) is a Chilean American mathematician specializing in analysis.

Moll studied at the Universidad Técnica Federico Santa María and at the New York University with a master's degree in 1982 and a doctorate in 1984 with Henry P. McKean (''Stability in the Large for Solitary Wave Solutions to McKean's Nerve Conduction Caricature'').<ref name="MGP"/> He was a post-doctoral student at Temple University and became an assistant professor in 1986 and an associate professor in 1992 and in 2001 Professor at Tulane University.

In 1990–1991, he was a visiting professor at the University of Utah, in 1999 at the Universidad Técnica Federico Santa María in Valparaíso, and in 1995 a visiting scientist at the Courant Institute of Mathematical Sciences of New York University.

He deals with classical analysis, symbolic arithmetic and experimental mathematics, special functions and number theory.

== Projects == Inspired by a 1988 paper in which {{ill|Ilan Vardi|de}} proved several integrals in ''Table of Integrals, Series, and Products'',<ref name="Vardi_1988"/> a well-known comprehensive table of integrals originally compiled by the Russian mathematicians Iosif Moiseevich Ryzhik (Russian: Иосиф Моисеевич Рыжик) and Izrail Solomonovich Gradshteyn (Израиль Соломонович Градштейн) in 1943 and subsequently expanded and translated into several languages, Victor Moll and George Boros started a project to prove all integrals listed in ''Gradshteyn and Ryzhik'' and add additional commentary and references.<ref name="Moll_2010"/> In the foreword of the book ''Irresistible Integrals'' (2004), they wrote:<ref name="Boros_2004"/> {{blockquote|It took a short time to realize that this task was monumental.}} Nevertheless, the efforts have resulted in about 900<!-- count of entries in articles 1-30: 10+5+8+44+10+65+30+7+45+76+52+6+21+1+(12[-1])+36+36+(7[+3])+42+26+75+36+54+10+18+41+37+17+(19[+16])+51=897[+18] --> entries from ''Gradshteyn and Ryzhik'' discussed in a series of more than 30 articles<!--<ref name="Moll_Scientia_Part_29"/><ref name="Moll_Scientia_Part_30"/><ref name="Moll_Scientia_Part_X1"/> --> of which papers 1 to 28<!--<ref name="Moll_Paper_1"/><ref name="Moll_Scientia_Part_1"/><ref name="Moll_Paper_2"/><ref name="Moll_Scientia_Part_2"/><ref name="Moll_Paper_3"/><ref name="Moll_Scientia_Part_3"/><ref name="Moll_Paper_4"/><ref name="Moll_Scientia_Part_4"/><ref name="Moll_Scientia_Part_5"/><ref name="Moll_Scientia_Part_6"/><ref name="Moll_Scientia_Part_7"/><ref name="Moll_Scientia_Part_8"/><ref name="Moll_Scientia_Part_9"/><ref name="Moll_Paper_10"/><ref name="Moll_Scientia_Part_10"/><ref name="Moll_Scientia_Part_11"/><ref name="Moll_Scientia_Part_12"/><ref name="Moll_Scientia_Part_13"/><ref name="Moll_Scientia_Part_14"/><ref name="Moll_Scientia_Part_15"/><ref name="Moll_Scientia_Part_16"/><ref name="Moll_Scientia_Part_17"/><ref name="Moll_Scientia_Part_18"/><ref name="Moll_Scientia_Part_19"/><ref name="Moll_Scientia_Part_20"/><ref name="Moll_Scientia_Part_21"/><ref name="Moll_Scientia_Part_22"/><ref name="Moll_Scientia_Part_23"/><ref name="Moll_Scientia_Part_24"/><ref name="Moll_Scientia_Part_25"/><ref name="Moll_Scientia_Part_26"/><ref name="Moll_Scientia_Part_27"/><ref name="Moll_Scientia_Part_28"/> --> have been published in issues 14 to 26<!-- except for 24 --> of Scientia, Universidad Técnica Federico Santa María (UTFSM), between 2007 and 2015<ref name="Moll_Scientia"/> and compiled into a two-volume book series ''Special Integrals of Gradshteyn and Ryzhik: the Proofs'' (2014–2015).<ref name="Moll_SIGR1_2014"/><ref name="Moll_SIGR2_2015"/> Moll also assisted Daniel Zwillinger editing the eighth English edition of Gradshteyn and Ryzhik in 2014.<ref name="Zwillinger_2014"/>

Moll also took on the task to revise and expand the classical landmark work "A Course of Modern Analysis" by Whittaker and Watson, which was originally published in 1902 and last revised in 1927, to publish a new edition in 2021.

== Publications == * [http://www.ams.org/notices/200203/index.html ''The evaluation of integrals, a personal story'', Notices AMS, 2002, No. 3] * with Henry McKean ''Elliptic Curves: function theory, geometry, arithmetic'', Cambridge University Press, 1997 * ''Numbers and functions: from a classical-experimental mathematician’s point of view'', AMS, 2012 * Editor with Tewodros Amdeberhan ''Tapas in experimental mathematics'', AMS Special Session on Experimental Mathematics, January 5, 2007, New Orleans, Louisiana, AMS, 2008 * Editor with Tewodros Amdeberhan, Luis A. Medina ''Gems in experimental mathematics'', AMS Special Session, Experimental Mathematics, January 5, 2009, Washington, DC, AMS, 2010 * with George Boros ''Irresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals'', Cambridge University Press, 2004. * A Course of Modern Analysis, 2021

== See also == * Gradshteyn and Ryzhik (GR) * Whittaker and Watson

== References == <references>

<ref name="MGP">{{MathGenealogyProject|id=33282}}</ref> <ref name="Vardi_1988">{{cite journal |title=Integrals: An Introduction to Analytic Number Theory |author-first=Ilan |author-last=Vardi |date=April 1988 |pages=308–315 |journal=American Mathematical Monthly |volume=95 |issue=4 |doi=10.2307/2323562 |url=http://www.les-mathematiques.net/phorum/file.php?2,file=4114,filename=ArtRMS.pdf |access-date=2016-03-14 |url-status=live |archive-url=https://web.archive.org/web/20160315003619/http://www.les-mathematiques.net/phorum/file.php?2%2Cfile=4114%2Cfilename%3DArtRMS.pdf |archive-date=2016-03-15 |jstor=2323562 }} [http://www.les-mathematiques.net/phorum/file.php?2,file=4114,filename=ArtRMS.pdf] {{Webarchive|url=https://web.archive.org/web/20160315003619/http://www.les-mathematiques.net/phorum/file.php?2%2Cfile=4114%2Cfilename%3DArtRMS.pdf |date=2016-03-15 }}</ref> <ref name="Moll_2010">{{cite journal |title=Seized Opportunities |journal=Notices of the American Mathematical Society |author-first=Victor Hugo |author-last=Moll |author-link=Victor Moll |date=April 2010 |orig-date=2009-08-30 |volume=57 |number=4 |pages=476–484 |url=https://www.ams.org/notices/201004/rtx100400476p.pdf |access-date=2016-04-08 |url-status=live |archive-url=https://web.archive.org/web/20160408230355/http://www.ams.org/notices/201004/rtx100400476p.pdf |archive-date=2016-04-08}} [http://www.math.tulane.edu/~vhm/papers_html/seized.pdf]</ref> <ref name="Boros_2004">{{cite book |author-first1=George |author-last1=Boros |author-first2=Victor Hugo |author-last2=Moll |author-link2=Victor Moll |title=Irresistible Integrals. Symbolics, Analysis and Experiments in the Evaluation of Integrals |publisher=Cambridge University Press (CUP) |date=2006 |orig-date=September 2004 |edition=reprinted<!-- 2006 --> 1st |isbn=978-0-521-79186-1|page=xi |url=https://books.google.com/books?id=g9tH8M3NvDIC |access-date=2016-02-22}} [http://www.cambridge.org/en/academic/subjects/mathematics/abstract-analysis/irresistible-integrals-symbolics-analysis-and-experiments-evaluation-integrals?format=PB&isbn=9780521796361] [http://assets.cambridge.org/97805217/96361/frontmatter/9780521796361_frontmatter.pdf] (NB. This edition contains many typographical errors.)</ref> <ref name="Moll_Scientia">{{cite web |title=Index of the papers in Revista Scientia with formulas from GR |author-first=Victor Hugo |author-last=Moll |author-link=Victor Moll |date=2012 |url=http://www.math.tulane.edu/~vhm/pap-index.html |access-date=2016-02-17}}</ref> <ref name="Moll_SIGR1_2014">{{anchor|Moll-V1}}{{cite book |author-first=Victor Hugo |author-last=Moll |author-link=Victor Moll |title=Special Integrals of Gradshteyn and Ryzhik: the Proofs – Volume I |volume=I |edition=1 |series= Monographs and Research Notes in Mathematics |publisher=Chapman and Hall/CRC Press/Taylor & Francis Group, LLC |date=October 1, 2014 |publication-date=November 12, 2014 |isbn=978-1-4822-5651-2 |url=https://books.google.com/books?id=dRYeBQAAQBAJ&q=9781482256512 |access-date=2016-02-12}}<!-- (NB. This volume compiles ''Scientia'' papers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 from issues 14 to 19.) --></ref> <ref name="Moll_SIGR2_2015">{{anchor|Moll-V2}}{{cite book |author-first=Victor Hugo |author-last=Moll |author-link=Victor Moll |title=Special Integrals of Gradshteyn and Ryzhik: the Proofs – Volume II |volume=II |edition=1 |series= Monographs and Research Notes in Mathematics |publisher=Chapman and Hall/CRC Press/Taylor & Francis Group, LLC |date=August 24, 2015 |publication-date=October 27, 2015 |isbn=978-1-4822-5653-6 |url=https://books.google.com/books?id=jSzSCgAAQBAJ&pg=PR6 |access-date=2016-02-12}}<!-- (NB. This volume compiles 14 ''Scientia'' articles from issues 20, 21, 22, 23, 25 and 26 including papers 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28 and one unnumbered paper.--><!-- number of article "Evaluation of entries in Gradstheyn and Ryzhik employing the method of brackets" in issue 25, pages 65-84 is currently unknown --><!--)--></ref> <ref name="Zwillinger_2014">{{cite book |author-first1=Izrail Solomonovich |author-last1=Gradshteyn |author-link1=Izrail Solomonovich Gradshteyn |author-first2=Iosif Moiseevich |author-last2=Ryzhik |author-link2=Iosif Moiseevich Ryzhik |author-first3=Yuri Veniaminovich |author-last3=Geronimus |author-link3=Yuri Veniaminovich Geronimus |author-first4=Michail Yulyevich |author-last4=Tseytlin |author-link4=Michail Yulyevich Tseytlin |author-first5=Alan |author-last5=Jeffrey |editor-first1=Daniel |editor-last1=Zwillinger |editor-first2=Victor Hugo |editor-last2=Moll |editor-link2=Victor Moll |translator=((Scripta Technica, Inc.)) |title=Table of Integrals, Series, and Products |publisher=Academic Press, Inc. |date=2015 |orig-date=October 2014 |edition=8 |isbn=978-0-12-384933-5 |id=GR:12 |url=https://books.google.com/books?id=NjnLAwAAQBAJ |access-date=2016-02-21}}</ref>

</references>

== External links == * {{cite web |author-first=Victor Hugo |author-last=Moll |author-link=Victor Hugo Moll |title=Victor Hugo Moll |url=http://www.math.tulane.edu/~vhm/ |access-date=2022-01-22 |url-status=live |archive-url=https://web.archive.org/web/20211221085717/http://dauns01.math.tulane.edu/~vhm/ |archive-date=2021-12-21}}<!-- http://tulane.edu/sse/math/faculty/victor-moll.cfm Homepage --> * [https://inclusionexclusion.org/2022/10/15/testimonios-dr-victor-h-moll/ Testimonios: Dr. Victor H. Moll] (October 15, 2022)

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{{DEFAULTSORT:Moll, Victor}} Category:20th-century American mathematicians Category:21st-century American mathematicians Category:1956 births Category:Living people <!-- Category:University of Tulane faculty -->