Sample publications:



(with V H Moll) Tapas in Experimental Mathematics (AMS Contemporary Mathematics) - this proceedings volume will appear June 15, 2008. new!

(with V.H. Moll) A dozen integrals: Russell-style

(with L. Medina, V.H. Moll) p-adic asymptotic analysis. to appear, Proc. Amer. Math. Soc.

(with O. Espinosa, V.H. Moll) Laplace transform of the digamma function: integral due to Glasser-Manna-Oloa. to appear, Proc. Amer. Math. Soc.

Integrals in Gradshteyn & Ryzhik: Part 5 and Part 7 and Part 9.

(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. To appear, Jour. Number Theory.

(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 to appear Experimental Mathematics.

(with V.H.Moll, D. Manna) 2-adic valuations arising from rational integral to appear J Comb Theory Series A.

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 G. Heinig) Not all are Toeplitz. -- submitted

(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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