Sample publications:



(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. (type "amdeberhan" under Quick Search)

(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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