Victor Hugo Moll (born 1956) is a Chilean American mathematician specializing in calculus.
Moll studied at the
Universidad Santa Maria 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).[1] 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.
He deals with classical analysis, symbolic arithmetic and
experimental mathematics, special functions and number theory.
Projects
Inspired by a 1988 paper in which
Ilan Vardi [
de] proved several integrals in
Table of Integrals, Series, and Products,[2] 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.[3] In the foreword of the book Irresistible Integrals (2004), they wrote:[4]
It took a short time to realize that this task was monumental.
Nevertheless, the efforts have resulted in about 900 entries from Gradshteyn and Ryzhik discussed in a series of more than 30 articles of which papers 1 to 28 have been published in issues 14 to 26 of
Scientia,
Universidad Técnica Federico Santa María (UTFSM), between 2007 and 2015[5] and compiled into a two-volume book series Special Integrals of Gradshteyn and Ryzhik: the Proofs (2014–2015).[6][7] Moll also assisted
Daniel Zwillinger editing the eight English edition of
Gradshteyn and Ryzhik in 2014.[8]
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.
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.