From a photograph full photo (jpg file 61K) showing me between Walter Van Assche (left) and Ken McLaughlin (right). Photography taken in front of the library of exact sciences in Louvain-la-Neuve on 13th May 1996 by Therese McLaughlin. Obrigado! |
In front of the Muslim castle of Cassis (France). Picture by Diego Dominici, July 2007. |
Institut Math. Univ. cath. Louvain Chemin du Cyclotron 2 B-1348 Louvain-la-Neuve Belgium mail to alphonse.magnus@uclouvain.be |
(From Altdorfer's "The battle of Alexander at Issus") web museum 1 .. web mus. 2 .. web mus. 3 .. |
(Thanks to Bruno Vroman) The full, much more explicit picture .. |
The 69999 first recurrence coefficients of graphene
graphene69999.txt (2M)
2000-2001:
Abstract: several ways to build rational approximations to various
species of analytic functions are examined. Special emphasis is put
on strong asymptotic estimates of the form
$ f(z) -R_n(z) \sim \sigma(z) \rho^n(z)$, when such estimates are
available.
1st lecture: Friday 13 October 2000, room b101-102 as above, 14h30-16h.
2001-2002:
Abstract: several ways to build rational approximations to various
species of analytic functions are examined. Special emphasis is put
on approximation to exponentials of polynomials.
1st lecture: Friday 12 October 2001, room b101-102 as above, 14h30-16h.
ps and pdf files (Oct. 2001):
pdf file (521K)
gzipped ps file (183K)
March 2002): a summary (19 pages)
pdf file (240K)
ps file (349K)
The slides (5 pages)
pdf file (121K)
ps file (216K)
2002-2003:
Abstract: Generalized Jacobi orthogonal polynomials on the unit circle
are examined: differential equations, recurrence relations,
asymptotic properties.
1st lecture: Friday 11 October 2002, room b101-102 as above, 14h30-16h.
pdf file Mar. 2003 (408K)
(March 2003): bits and
pieces of a solution of Grünbaum-Delsarte-Janssen-Vries
problem in
m3xxx99.pdf
2006-2007. MAPA3071. Elliptic lattices. (pdf 640K)
Colloque OPSFA
"Orthogonal polynomials, Special functions
and Applications"
2 au 6 juillet 2007 http://www.cirm.univ-mrs.fr/liste_rencontre/Rencontres2007/Valent07/Valent07.html
Rational interpolation to solutions of Riccati
difference equations on elliptic lattices.
The slides (pdf)
The pre-preprint (pdf)
The preprint of Nov. 2008 (pdf)
Rational interpolation to exponential-like functions on elliptic lattices,
3èmes Journées Approximation
May 15-16, 2008
Salle de Réunion, Bâtiment M2
Laboratoire Paul Painlevé UMR 8524
Université de Lille 1, FRANCE
The slides (pdf)
The pre-preprint (pdf)
Workshop: "Elliptic integrable systems, isomonodromy problems, and hypergeometric functions". Yu.I. Manin, M. Noumi, E.M. Rains, H. Rosengren, V.P. Spiridonov (organizers) Hausdorff Center for Mathematics, Bonn 21-25 July, 2008 http://www.hausdorff-center.uni-bonn.de/elliptic-integrable-systems
Elliptic difference equations.
The elliptic logarithm.
The slides (pdf) http://www.emis.de/journals/SIGMA/Elliptic-Integrable-Systems.html
The preprint of Nov 2008. (pdf)
Alphonse P. Magnus, Elliptic Hypergeometric Solutions to Elliptic Difference Equations, SIGMA 5 (March 2009), 038, 12 pages ,
http://www.emis.de/journals/SIGMA/2009/038/sigma09-038.pdf
OPSFA-10 (Orthogonal Polynomials, Special Functions and Applications), Leuven 2009 http://wis.kuleuven.be/OPSFA/OPSFA10.html
Rational Freud equations, my slides Freud2009s.pdf
Approximation Days 2012
2-3 July, 2012, Leuven, Belgium
http://wis.kuleuven.be/events/ad12
Threepieces2012s.pdf
The Polignac problem has been solved long ago, it is in
Whittaker & Watsons's book! see PolWhit.pdf
More on gen. Jacobi pol. asymptotics on unit circle in
Semi-classical orth. pol. on unit circle. pdf (1999-2000, 2002-2003, 2012-2013)
Alphonse P. Magnus, Elliptic Hypergeometric Solutions to Elliptic Difference Equations, SIGMA 5 (March 2009), 038, 12 pages , http://www.emis.de/journals/SIGMA/2009/038/sigma09-038.pdf
Alphonse P. Magnus, Viviane Pierrard, Formulas for recurrence coefficients of orthogonal polynomials related to Lorentzian-like weights,
Journal of Computational and Applied Mathematics,
Volume 219, Issue 2, Pages 431-440 (1 October 2008) , Special Issue dedicated to Prof. Claude Brezinski, on the occasion of his retirement from the University of Sciences and Technologies of Lille in June 2006,
Edited by M. Prévost, M. Redivo-Zaglia and F. Wielonsky .
The pdf preprint, with the % in the acknowledgements!
Germain, M.; Magnus, A.; Steenberghe, V., How to design and use the clean development mechanism under the Kyoto Protocol? A developing country perspective, Environmental and Resource Economics , Volume 38, Number 1, September 2007, pp. 13-30.
M.Germain, A.Magnus: Prices versus quantities: stock pollution control with repeated choice of the instrument, J. Comp. Appl. Math. . 197 (2006) 437-445 the pdf (145K) preprint, Oct. 2005.
A.P. Magnus,
" Freud equations for Legendre polynomials on a circular arc
and solution of the Grünbaum-Delsarte-Janssen-Vries problem"
, Journal of Approximation Theory, Volume 139, Issues 1-2, This Volume is Dedicated to Barry Simon on the Occasion of his Sixtieth Birthday, March-April 2006, Pages 75-90.
Keywords: Unit circle orthogonal polynomials
The pdf (200K) preprint, May 2005.
A.P. Magnus, J. Meinguet,
The elliptic functions and integrals of the `1/9' problem,
presented at Antwerpen international conference on
rational approximation June 6--11 1999
ICRA99,
Numerical Algorithms 24: (1-2) (2000) 117-139.
See more here.
M. Germain, A.P. Magnus,
Progrès technique et durée de vie du capital,
IRES Discussion Paper 9911 (March 1999)
http://www.ires.ucl.ac.be/DP/Biblio_html/9911.html
In preparation: V.Pierrard and A.P.Magnus:
Lorentzian orthogonal polynomials
The FORTRAN77 program
NEW (2012) Bar-le-Duc stuff BarlD.htm
NEW (June 2003): pre-preprint
Freud equations for Legendre polynomials on a circular arc
and solution of the Gr\"unbaum-Delsarte-Janssen-Vries problem.
The pdf file
The java program
Matière vue en 2009
(pdf) (déc. 2009)
Matière vue en 2010
(pdf) (déc. 2010)
Matière vue 2008-2009(pdf) (mai 2009)
Matière vue 2009-2010(pdf) (mai 2010)
nouveaux développements (mars 2003)
Programme du cours MAFY 1181.
Actualités des mathématiques et de la
physique.
Année académique 2008-2009.
27 mars. Approximations de fonctions. Archéologie des tables de logarithmes.
Other math. stuff
math. textbooks online
Some homepages
Various addresses.
info HTML.