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. Louvain Chemin du Cyclotron 2 B-1348 Louvain-la-Neuve Belgium Tel ++32 10 473157 Fax ++32 10 472530 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 .. |
Matière vue
(htm) (pdf) (déc. 2008)
nouveaux développements (mars 2003)
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)
The preprint of Nov 2008. (pdf)
OPSFA-10 (Orthogonal Polynomials, Special Functions and Applications), Leuven 2009 http://wis.kuleuven.be/OPSFA/OPSFA10.html
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 (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
Other math. stuff
math. textbooks online
Some homepages
Various addresses.
info HTML.