(with O Espinosa, V Moll, A Straub)
Wallis-Ramanujan-Schur-Feynman,
to appear, Amer. Math. Monthly.
A note on a question due to A. Garsia,
preprint.
(with V Moll, A Straub)
One-loop correction integrals for orthopositronium lifetimes in QED,
Jour. Math. Physics, #50, 2009, 103528.
(with G Heinig)
Is every complex matrix similar to a Toeplitz matrix? to appear,
Birkhauser, V.199, Jan. 2010. In memoriam,
Georg Heinig, a wonderful Mensch!
(with R P Stanley)
Polynomial coefficient enumeration, preprint.
(with M Glasser, M Jones, V Moll, R Posey, D Varela)
The Cauchy-Schlomilch transformation, preprint.
A note on Fibonacci-type polynomials, to appear, J. of INTEGERS.
(with A. Straub, V.H. Moll)
Valuation of k-binomial coefficients, Acta Arithmetica, #149,
2009, 31-42.
Differential operators, shifted parts, and hook lengths,
preprint. Follow the
link for background material.
(with V H Moll)
Tapas in Experimental Mathematics
- this book is V. 457, AMS Contemporary Math, 2008.
(with V.H. Moll)
A dozen integrals: Russell-style
Math Newsletter, Ramanujan Math Soc, Vol 18, #1 June 2008.
(with L. Medina, V.H. Moll)
p-adic asymptotic analysis. Proc. Amer. Math. Soc., v.137, #3,
March 2009.
(with O. Espinosa, V.H. Moll)
Laplace transform of the digamma function: integral due to
Glasser-Manna-Oloa, Proc. Amer. Math. Soc., 136 (2008).
Integrals in
Gradshteyn & Ryzhik:
Part 5 and
Part 7 and
Part 9 and
Entry 3.411.5.
(with D. Zeilberger)
"Trivializing" generalizations of some Izergin-Korepin-type determinants.
Discrete Math. & Theor. Comp. Sci. 9 (2007), Nancy, France.
(with L. Medina, V.H.Moll)
A dynamical system of arctangent sequence,
Jour. Number Theory, 128 (2008).
(with V.H.Moll)
A formula for quartic integral: old and new proofs.
The Ramanujan Journal, Oct. 2007.
(with V.H.Moll, D. Manna)
2-adic valuation of Stirling Numbers
Vol. 17, #1, 2008, Experimental
Mathematics.
(with V.H.Moll, D. Manna)
2-adic valuations arising from rational integral
J. Combin. Theory Ser. A, Vol. 115, #8, 2008.
Umemura polynomials associated to Painleve III
also available at
Physics Letters A 354 (2006)
(with A. Ayyer)
Towards the moduli space of extended partial isometries
(with M. Bona, B.E. Sagan)
Double log-concavity. --- under construction.
(with W. Marszalek, R. Riaza)
Singularity
crossing phenomena in DAEs:
a 2-phase fluid flow appl. case study.
Int. J. Comp. Math. Appl., (49) 2-3, 2005.
Cylindrically symmetric solution approaching
Einstein's Universe. J. Geometry & Topology, vol. 2, (3) 2002.
Traveling wave DAEs in spray dynamics, has been
presented -- Vancouver, CA, minisymposium Aug, 2001
Two Symmetry Problems in Potential Theory. June
6, 2001.
(with D. Zeilberger)
Determinants Through The Looking Glass.
Its companion Maple package is:
DODGSON. Adv. Appl. Math., (27) #2/3, 2001 (special issue.)
A brief commentary for the general reader at:
Online MAA.
A Determinant of the Chudnovskys: Generalizing the Elliptic Frobenius-
Stickelberger-Cauchy Determinantal Identity.
(Elec. J. Comb. 2000.)
(with D. Zeilberger)
q-Apery Irrationality Proofs by q-WZ Pairs.
(with D. Zeilberger)
Hypergeometric Series Acceleration via the WZ Method.
(with S.B. Ekhad)
A Condensed Condensation Proof of a Determinant Evaluation
Conjectured by
Greg
Kuperberg
and Jim Propp.
(with G. Porru, S.Vernier-Piro)
Maximum principles for a class of nonlinear 2nd order elliptic PDEs.
(with M. Zeleke)
On Injectivity of Combinatorial Radon Transform of Order Five.
Faster and Faster convergent series for Zeta(3).
An integral inequality for a class of elliptic operators of 4th order,
Rendiconti Seminario Fac Sc., Univ Cagl, Vol 60, #2: MR 92k
35078.
(with G.Porru) Integral inequalities for linear elliptic operators of 2nd
order, Ricerche di Matematica, Napoli, Vol XXXVII #1: MR 90k
35045.
(with G.Heinig) On the inverses of Hankel & Toeplitz Mosaic matrices,
Seminar Analysis, Academic-Verlag, Berlin: MR 90j 15007.
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