# Victor Moll

> Mediated Wiki article. Canonical URL: https://mediated.wiki/source/Victor_Moll
> Markdown URL: https://mediated.wiki/source/Victor_Moll.md
> Source: https://en.wikipedia.org/wiki/Victor_Moll
> Source revision: 1351924929
> License: Creative Commons Attribution-ShareAlike 4.0 International (https://creativecommons.org/licenses/by-sa/4.0/)

{{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](/source/Universidad_T%C3%A9cnica_Federico_Santa_Mar%C3%ADa) and at the [New York University](/source/New_York_University) with a master's degree in 1982 and a doctorate in 1984 with [Henry P. McKean](/source/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](/source/Temple_University) and became an assistant professor in 1986 and an associate professor in 1992 and in 2001 Professor at [Tulane University](/source/Tulane_University).

In 1990–1991, he was a visiting professor at the [University of Utah](/source/University_of_Utah), in 1999 at the [Universidad Técnica Federico Santa María](/source/Universidad_T%C3%A9cnica_Federico_Santa_Mar%C3%ADa) in [Valparaíso](/source/Valpara%C3%ADso), and in 1995 a visiting scientist at the [Courant Institute of Mathematical Sciences](/source/Courant_Institute_of_Mathematical_Sciences) of New York University.

He deals with classical analysis, symbolic arithmetic and [experimental mathematics](/source/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](/source/Table_of_Integrals%2C_Series%2C_and_Products)'',<ref name="Vardi_1988"/> a well-known comprehensive table of integrals originally compiled by the Russian mathematicians [Iosif Moiseevich Ryzhik](/source/Iosif_Moiseevich_Ryzhik) (Russian: Иосиф Моисеевич Рыжик) and [Izrail Solomonovich Gradshteyn](/source/Izrail_Solomonovich_Gradshteyn) (Израиль Соломонович Градштейн) in 1943 and subsequently expanded and translated into several languages, Victor Moll and [George Boros](/source/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](/source/Scientia_(UTFSM_journal)), [Universidad Técnica Federico Santa María](/source/Universidad_T%C3%A9cnica_Federico_Santa_Mar%C3%ADa) (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](/source/Daniel_Zwillinger) editing the eighth English edition of [Gradshteyn and Ryzhik](/source/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](/source/A_Course_of_Modern_Analysis)" by [Whittaker and Watson](/source/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](/source/A_Course_of_Modern_Analysis), 2021

== See also ==
* [Gradshteyn and Ryzhik](/source/Gradshteyn_and_Ryzhik) (GR)
* [Whittaker and Watson](/source/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](/source/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](/source/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](/source/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](/source/Chapman_and_Hall)/[CRC Press](/source/CRC_Press)/[Taylor & Francis Group, LLC](/source/Taylor_%26_Francis_Group%2C_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](/source/Scientia_(UTFSM_journal))'' 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](/source/Chapman_and_Hall)/[CRC Press](/source/CRC_Press)/[Taylor & Francis Group, LLC](/source/Taylor_%26_Francis_Group%2C_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](/source/Scientia_(UTFSM_journal))'' 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.](/source/Academic_Press%2C_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)

{{Authority control}}

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

---
Adapted from the Wikipedia article [Victor Moll](https://en.wikipedia.org/wiki/Victor_Moll) by Wikipedia contributors ([contributor history](https://en.wikipedia.org/wiki/Victor_Moll?action=history)). Available under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/). Changes may have been made.