Papers by Victor H. Moll
If you would like a hard copy, please email me at vhm at math.tulane.edu
 The CauchySchlomilch transformation
(with T. Amdeberhan, L. Glasser, M. C. Jones, R. Posey and D. Varela)
Integral
Transforms and Special Functions 30, 2019, 940961.

A closedform solution might be given by a tree. Valuations of quadratic polynomials
(with L. Almodovar, A. Byrnes, J. Fink, X. Guan, A. Kerarwani,
G. Lavigne, L. Medina,
I. Nogues, S. Rajasekaran,
E. Rowland and A. Yuan)
Scientia,
Series A: Math. Sciences 29, 2019, 1128.
 Extensions of set partitions and
permutations
(with J. Caicedo, J. L. Ramirez and D. Villamizar).
Elec. Jour.
Combinatorics 26, 2019, #P2.20.

The arithmeticharmonic mean and Landen
transformations
Scientia,
Series A: Math. Sciences 29, 2019, 15.

A warning about symbolic integration
(with D. S. Bernstein).
Scientia,
Series A: Math. Sciences 29, 2019, 79.
 A symbolic approach to multiple zeta values at the negative integers
(with L. Jiu and C. Vignat).
Journal of Symbolic Computation
84, 2018, 113.
 Sums of four or fewer squares
(with A. Kesarwani).
Scientia,
Series A: Math. Sciences 28, 2018, 5562.
 Combinatorial and arithmetical
properties of the restricted and associated Bell and factorial numbers
(with J. L. Ramirez and D. Villamizar).
Journal of
Combinatorics 9, 2018, 693720.
 A generalized modified Bessel function and
a higher level analogue of the theta transformation formula
(with
A. Dixit, A. Kesarwani and an appendix by N. Temme)
Journal of Math. Anal. and Applications 459, 2018, 385418.

Periodicity in the padic valuation of a polynomial
(with L. Medina and E. Rowland)
Journal of Number Theory 180, 2017, 139153.

Integrals of Frullani type and the method of
brackets
(with S. Bravo, I. Gonzalez and K.Kohl)
Open Mathematics 15, 2017, 112.

An extension of the method of
brackets
(with I. Gonzalez, K.Kohl and L. Jiu)
Open Mathematics 15, 2017, 11811211.
 The moments of the hydrogen atom by the method of brackets
(with I. Gonzalez, K. Kohl, I. Kondrashuk and D. Salinas)
SIGMA 13, 2017, 113.
 Modified Norlund polynomials
(with A. Dixit, A. Kabza and C. Vignat)
The Ramanujan Journal
42, 2017, 6996.

Asymptotics and exact formulas for Zagier polynomials
(with A. Dixit, M. L. Glasser, C. Vignat)
Res. Number Theory 12, 2016, 4774.
 A series involving Catalan numbers. Proofs and demonstrations
(with T. Amdeberhan, X. Guan, L. Jiu and C. Vignat)
Elemente der Mathematik 71, 2016, 109121.

Pochhammer symbols with negative indices. A
new rule for the method of
brackets
(with I. Gonzalez and L Jiu)
Open Mathematics 14, 2016, 681686.
 Infinite products arising in
paperfolding.
(with L. Almodovar, F. Roman, E. Rowland, H. Quan and M. Washington)
Journal of Integer Sequences
19, 2016, article 16.5.1
 A symbolic approach to some BernoulliBarnes polynomials
(with L. Jiu and C. Vignat)
International Journal of Number Theory 12, 2016, 109121.
 A hypergeometric inequality
(with A. Dixit and V. Pillwein)
Journal of Analytic Combinatorics
20, 2016, 6572.
 Involutions and their progenies
(with T. Amdeberhan)
Journal of Combinatorics
6, 2016, 483508.
 Selfreciprocal functions, powers of the Riemann zeta function and modulartype transformations
(with A. Dixit)
Journal of Number Theory 147, 2015, 211249.
 The finite Fourier transform of classical polynomials
(with Atul Dixit, Lin Jiu and Christophe Vignat)
Journal of the Australian Mathematical Society 98, 2015, 145160.
 A probabilistic approach to some binomial identities
(with C. Vignat)
Elemente der Mathematik 70, 2015, 5566.
 A byproduct of an integral evaluation
(with T. Amdeberhan).
The
Ramanujan Journal 37, 2015, 219222.
 Generalized Bernoulli numbers and a formula of Lucas
(with Christophe Vignat)
The Fibonacci Quarterly
53, 2015, 349359.
 Identities for generalized Euler polynomials
(with Lin Jiu and Christophe Vignat)
Integral
Transforms and Special Functions 25, 2014, 777789.
 Generalized Fibonacci polynomials and Fibonomial coefficients
(with T. Amdeberhan, X. Chen and B. Sagan)
Annals of Combinatorics 18,
2014, 541562.
 On polynomials connected to powers of Bessel functions
(with C. Vignat)
International Journal of Number
Theory 10, 2014, 12451257.
 Recursion rules for the hypergeometric zeta function
(with A. Byrnes, Lin Jiu and C. Vignat)
International Journal of Number Theory 7, 2014, 17611782.
 The unimodality of a polynomial coming from a rational integral. Back to the original proof
(with T. Amdeberhan, A. Dixit, Xiao Guan and Lin Jiu)
Journal of Math. Anal. and Applications 420, 2014, 11541166.
 A special rational function with vanishing integral
Integral
Transforms and Special Functions 24, 2014, 970975.
 Evaluation of entries in Gradshteyn
and Ryzhik employing the method of brackets
(with I. Gonzalez and K. Kohl).
Scientia,
Series A: Math. Sciences 25, 2014, 6584.
 The Zagier polynomials. Part II: arithmetic properties of coefficients.
(with M. Coffey, V. De Angelis, A. Dixit, A. Straub and C. Vignat)
The Ramanujan Journal
35, 2014, 361390.
 The Zagier modification of Bernoulli numbers and a polynomial extension. Part I.
(with A. Dixit and C. Vignat)
The Ramanujan Journal 33, 2014, 379422.
 An arithmetic conjecture on a sequence of arctangent sums
Scientia,
Series A: Math. Sciences 24, 2013, 90119.
 From sequences to polynomials and back, via operator orderings
(with T. Amdeberhan, V. De Angelis, A. Dixit, and C. Vignat)
Journal of Mathematical Physics 54, 2013, 123502.
 Valuations and combinatorics of truncated exponential sums
(with T. Amdeberhan and D. Callan)
INTEGERS,
Volume 13, A21, 2013.
 A probabilistic interpretation of a sequence related to Narayana polynomials
(with T. Amdeberhan and C. Vignat)
Online Journal of Analytic Combinatorics 8, Paper 3, 2013.
 A family of palindromic polynomials
(with T. Amdeberhan and V. Papanicolau
Scientia,
Series A: Math. Sciences 24, 2013, 2532.
 Complementary Bell numbers: Arithmetical properties and Wilf's conjecture
(with T. Amdeberhan and V. De Angelis)
 A generalized Ramanujan Master Theorem applied to the evaluation fo Feynman diagrams
(with I. Gonzalez and I. Schmidt)
Advances in Applied Mathematics 63, 2015, 214230.
 Ramanujan Master's Theorem
(with T. Amdeberhan, O. Espinosa, I. Gonzalez, M. Harrison and A. Straub)
The Ramanujan Journal 29, 2012, 103120.
 The padic valuation of ASM numbers.
(with Erin Beyerstedt and Xinyu Sun)
Journal of Integer Sequences 14, 2011, article 11.8.7
 The iterated integrals of ln(1+x^2)
(with Tewodros Amdeberhan, Christoph Koutschan and Eric Rowland)
International Journal of Number Theory 7, 2011, 112.
 Broken bracelets, Molien series, paraffin wax and an elliptic curve of conductor 48
(with T. Amdeberhan and Mahir Can).
SIAM Journal of Discrete Math. 25, 2011,18431859.
 Arithmetic properties of plane partitions
(with T. Amdeberhan).
Elec. Jour. Combinatorics 18, 2011, #R1.
 Solution to Problem 11519
(with T. Amdeberhan).
 The evaluation of a quartic integral via Schwinger, Schur and Bessel
(with T. Amdeberhan and Christophe Vignat).
The Ramanujan Journal 28, 2012,114.
 A pretty binomial identity
(with T. Amdeberhan, V. de Angelis, M. Lin and B. Sury).
Elemente der Mathematik 67, 2012, 18.
 Integrals of powers of loggamma
(with Tewodros Amdeberhan, Mark W. Coffey, Olivier Espinosa,
Christoph Koutschan and Dante V. Manna)
Proc. Amer. Math. Soc.
139, 2011, 535545.
 The action of Hecke operators on hypergeometric functions
Journal of Australian Mathematical Society 89, 2010, 5174
(with Sinai Robins and Kirk Soodhalter).
 The method of brackets. Part 2: examples and applications (with Ivan Gonzalez and Armin Straub)
Contemporary Mathematics 517, 157171, 2010.
 Iterated primitives of logarithmic
powers (with Luis Medina and Eric Rowland)
International Journal of Number Theory 7(3), 623634, 2011
 The $p$adic valuation of Stirling
numbers (with A. Berrizbeitia, L. Medina, A. Moll and L. Noble)
Journal for Algebra and Number Theory Academia 1, 2010, 130.
 WallisRamanujanSchurFeynman
(with T. Amdeberhan, O. Espinosa and A. Straub).
American Mathematical Monthly 117, 2010, 618632
 A fast numerical algorithm for the
integration of rational functions
(with Dante Manna, Luis Medina and Armin Straub)
)
Numerische Mathematik115, 2010, 289307.
 Seized opportunities.
Notices Amer. Math. Soc.
57, 2010, 476484.
 The evaluation of Tornheim double sums, Part 2 (with Olivier Espinosa)
The Ramanujan Journal 22, 2010, 5599.
 Definite integrals by the method of brackets. Part 1. (with Ivan Gonzalez)
Advances in Applied Mathematics 45, 2010, 5073.
 Closedform evaluation of integrals appearing in positronium decay
(with T. Amdeberhan and A. Straub)
Journal of Math. Physics 50, 2009, 103528
 The padic valuations of sequences counting alternating sign matrices. (with Xinyu Sun)
Journal of Integer Sequences 12, 2009, Article 09.3.8
 A remarkable sequence of integers (with Dante Manna)
Expositiones Mathematicae
27, 2009, 289312.
 The $p$adic valuation of $k$central binomial coefficients
(with Armin Straub and Tewodros Amdeberhan).
Acta Arithmetica 149, 2009, 3142.
 A binary tree representation for the 2adic valuation of a sequence arising from a rational integral
(with Xinyu Sun).
Integers 10, 2009, 211222.
 A class of logarithmic integrals
(with L. Medina).
Ramanujan Journal 20, 2009, 91126.
 Asymptotic valuations of sequences satisfying first order
recurrences
(with T. Amdeberhan and L. Medina).
Proc. Amer. Math. Soc. 137, 2009, 885890.
 A formula for a quartic integral: a survey of old
proofs and some new ones
(with T. Amdeberhan).
Ramanujan Journal 18, 2009, 91102.
 Solution to Problem 11299
(with T. Amdeberhan).
 An iterative method for numerical
integration of rational functions
(with D. Manna).
Contemporary Mathematics 471, 2008,
161174.
 A dozen integrals: Russel style
(with T. Amdeberhan).
Ramanujan Mathematics Newsletter 18(1), 2008, 78.
 The Laplace transform of the digamma function: an integral due to Glasser, Manna and Oloa
(with T. Amdeberhan and O. Espinosa).
Proc. Amer. Math. Soc. 136, 2008, 32113221.
 The $2$adic valuation of Stirling
numbers (with T. Amdeberhan
and D. Manna).
Experimental Mathematics, 17, 2008, 6982.
 Landen survey
(with D. Manna).
Probability, Geometry and Integrable Systems
MSRI Publications 55, 2008, 287319.
Special volume honoring Henry McKean.
The whole volume can be seen here
 Integrales definidas: Analisis, Numeros y Experimentos
Revista Cientifica Tumbaga 2, 2008, 138174.
 Arithmetical properties of a sequence arising from an arctangent sum
Journal of Number Theory
128, 2008, 18081847 (with T. Amdeberhan and L. Medina).
 The $2$adic valuation of a sequence
arising from a rational integral
(with T. Amdeberhan
and D. Manna).
Journal of Combinatorial Theory, Series A, 115, 2008, 14741486.
 An elementary trigonometric equation
College Mathematical Journal 39, 2008, 394398.
 Combinatorial sequences arising from a rational integral
Online Journal of Analytic Combinatorics Issue 2, 2007, #4.
 Rational Landen transformations on the real line (with Dante Manna)
Math Comp 76, 2007, 20232043.
 A simple example of a new class of Landen transformations (with Dante Manna)
American Mathematical Monthly March 2007, 114, 232241.
 Dynamics of the degree six Landen transformation (with Marc Chamberland)
Discrete and Continuous Dynamical Systems 15, 2006, 905919.
 A summation method due to Carr: part 1
(with G. Boros)
Scientia, Series A: Math. Sciences 12, 2006, 2137.
 The evaluation of Tornheim double sums, Part I (with Olivier Espinosa)
Journal of Number Theory 116, 2006, 200229.
 Sums of arctangents and some formulas of Ramanujan (with G. Boros)
Scientia, Series A: Math. Sciences 11, 2005, 1324.
 An elementary evaluation of a quartic integral (with G. Boros and S. Riley)
Scientia, Series A: Math. Sciences 11, 2005, 112.
 A map on the space of rational functions (with G. Boros, J. Little, E. Mosteig and R. Stanley))
Rocky Mountain Journal 35, 2005, 18611880.
 A generalized polygamma function (with Olivier Espinosa)
Integral Transforms and Special Functions 15, 2004, 101115.
 On some families of integrals solvable in terms of polygamma and negapolygamma
functions
(with George Boros and Olivier Espinosa)
Integral Transforms and Special Functions 14, 2003, 187203.
 A geometric view of the rational Landen transformation (with John Hubbard)
Bull. London Math. Soc. 35, 2003, 293301.
 The evaluation of integrals: a personal story
Notices Amer. Math. Soc. 49, March 2002, 311317.
 A transformation of rational functions (with G. Boros and M. Joyce)
Elemente der Mathematik 57, 2002, 111.
 Bernoulli on arc length (with J. Nowalsky, G. Roa and L. Solanilla)
Math. Magazine 75, 2002, 209213
 The story of Landen, the hyperbola and the ellipse. (with J. Nowalsky and L. Solanilla)
Elemente der Mathematik 57, 2002, 1925.
 On some definite integrals involving the Hurwitz zeta function. Part 2. (with Olivier Espinosa)
Ramanujan Journal 6, 2002, 449468.
 On some definite integrals involving the Hurwitz zeta function. Part 1. (with Olivier Espinosa)
Ramanujan Journal 6, 2002, 159188.
 Landen transformations and the integration of rational functions. (with George Boros)
Math Comp 71, 2002, 649668.
 An integral with three parameters. Part 2. (with George Boros and Roopa Nalam)
Jour. Comp. Appl. Math. 134, 2001, 113126.
 An extension of a criterion for unimodality (with J. Alvarez, M. Amadis, G. Boros, D. Karp and L. Rosales)
Elec. Jour. Combinatorics 8, 2001, #R30.
 The double square root, Jacobi polynomials and Ramanujan's Master Theorem (with George Boros)
Jour. Comp. Appl. Math. 130, 2001, 337344.
 The 2adic valuation of the coefficients of a polynomial
(with George Boros and Jeffrey Shallit)
Scientia, Series A: Math. Sciences 7, 2001, 4760. Special issue in the memory of Miguel Blazquez.
 A property of Euler's elastic curve. (with P. Neill, J. Nowalsky and L. Solanilla)
Elemente der Mathematik 55, 2000, 156162.
 A rational Landen transformation. The case of degree six. (with George Boros)
Contemporary Mathematics 251, 2000, 8391.
 The integration of rational functions:
examples and problems. Part I. (with George Boros)
Scientia, Series A: Math. Sciences 6, 2000, 928.
 A criterion for unimodality (with George Boros)
Elec. Jour. Combinatorics 6, 1999, #R10.
 A sequence of unimodal polynomials (with George Boros)
Journal of Math. Anal. and Applications 237, 1999, 272287.
 An integral hidden in Gradshteyn and Ryzhik (with George Boros)
Jour. Comp. Appl. Math. 106, 1999, 361368.
 An integral with three parameters (with George Boros)
SIAM Review 40, 1998, 972980
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