Teaching in previous years can be found at the bottom of the page.
Recent publications and manuscripts
With Ryszard Szwarc, The smallest eigenvalue of Hankel
matrices
Manuscript pdf-version from ArXiv
With Christophe Vignat, On the density of the sum of two independent Student t-random vectors pdf-version from ArXiv
B{\o}rge Jessen, 19.6.1907--20.3.1993
Electronic journal for History of Probability
and Statistics, Vol 5, no. 1 (2009) Access
With Antonio J. Durn, Fibonacci numbers, Euler's 2-periodic continued fractions
and moment sequences Manuscript.
pdf-version from ArXiv
With Christophe Vignat, On some results of Cufaro Petroni about Student t-processes
J. Phys. A: Math. Theor. 41(2008) 265004 (10 PP) pdf-version from ArXivaccess via DOI
With Antonio J. Durn, Iteration of the rational function z-1/z and a Hausdorff moment sequence
Expo. Math. 26 (2008), 375-385. final pdf-version access via DOI
With Jorge Mateu and Emilio Porcu, The Dagum family of isotropic correlation functions
Preprint submitted to ArXiv.
Bernoulli Journal 14 no. 4 (2008), 1134-1149. access via DOI
With Jrgen Ellegaard Andersen, Quantum Hilbert matrices and orthogonal
polynomials J. Comput. Appl. Math. 233 (2009), 723-729. ArXiv.
New updated version pdf.file.
access via DOI
Ortogonale polynomier og Hilbertmatricen (In Danish) NORMAT 54 no. 3
(2006) 116-133.
pdf-file. (Note that the page numbers in the pdf-file are not the final numbers as they appeared in the journal)
With Henrik L. Pedersen,
Convexity of the median in the gamma distribution Ark. Mat. 46 (2008), 1-6.
pdf-file.
Stieltjes-Pick-Bernstein-Schoenberg and their
connection to complete monotonicity. In: Positive
definite functions. From Schoenberg to Space-Time
Challenges. Ed. J. Mateu and E. Porcu. Dept. of Mathematics, University
Jaume I, Castellon, Spain, 2008. ISBN 978-84-612-8282-1.
pdf-file.
Fibonacci numbers and orthogonal polynomials To appear in
proceedings of an International Conference on Mathematical Analysis and Its Applications,
Assiut, Egypt, January 3-6, 2006.
pdf-file .
pdf-version submitted September 2006 to ArXiv.
With Antonio Duran,
The fixed point for a transformation of Hausdorff moment sequences and iteration of a rational function
Math. Scand. 103 (2008), 11-39.
pdf-file .
With Henrik L. Pedersen and with an appendix by Walter Hayman Logarithmic
order and type of indeterminate moment problems
Proceedings of the International Conference : "Difference equations, special functions
and orthogonal polynomials", Munich, July 25-30, 2005. World Scientific Publishing Company, Singapore 2007
(ISBN-13 978-981-270-643-0; ISBN-10 981-270-643-7). Editors: S.Elaydi, J. Cushing, R. Lasser, V. Papageorgiou, A. Ruffing, W. Van Assche.
pdf-file.
With Christophe Vignat, Linearization coefficients of Bessel polynomials
Constr. Approx. Vol. 27 (2008),15-32.
pdf-file.
access via DOI
On powers of Stieltjes moment sequences,II
J. Comput. Appl. Math. 199 (2007), 23-38.
pdf-file.
access via DOI
With Henrik L. Pedersen,
The Chen-Rubin conjecture in a continuous setting Manuscript containing Maple programs
pdf-file.
Revised manuscript of August 24, 2006 has appeared in Methods and Applications of
Analysis, Vol 13 (2006), 63-88.
revised version (pdf).
On powers of Stieltjes moment sequences,I
J. Theor. Prob. 18 (2005), 871-889. Preprint version
pdf-file.
With Horst Alzer and Stamatis Koumandos,
On a conjecture of Clark and Ismail
J. Approx. Theory 134 (2005), 102-113.
ps-file of preprint version.
With Antonio Duran,
Some transformations of Hausdorff moment sequences and harmonic numbers
Canad. J. Math. 57 (2005), 941-960.
ps-file of Preprint version.
With Horst Alzer,
Some Classes of Completely Monotonic Functions,II
Ramanujan J. 11 (2006), 225-248.
Journal version
Preprint version: pdf-file.
On a generalized Gamma convolution related to the q-calculus
In: Developments of Mathematics Vol. 13: "Theory and Applications of Special Functions. A volume dedicated to Mizan Rahman". Edited by Mourad E.H. Ismail and Erik Koelink.
ISBN: 0-387-24231-7. Springer Science+Business Media, Inc., Berlin. A preprint version of the paper is available:
ps-file.
With Antonio Duran,
Orthogonal polynomials and analytic functions associated to
positive definite matrices J. Math. Anal. Appl. 315 (2006), 54-67
ps-file.
With Antonio J. Duran,
A transformation from Hausdorff to Stieltjes moment sequences
Ark. Mat. 42 (2004), 239-257. See:http://www.arkivformatematik.org/
preprint Version of July 2003.
ps-file.
Correction to a paper by A. G. Pakes J. Austral.
Math. Soc. 76 (2004), 67-73. See http://www.austms.org.au/Publ/Jamsa/
ps-file.
With Horst Alzer,
Some Classes of Completely Monotonic Functions
Ann. Acad. Sci. Fenn. Math. Vol. 27 (2002), 445-460
pdf-file.
A Pick function related to an inequality for the entropy
function . J. Inequalities Pure and Appl. Math. Vol. 2, Issue 2,
Article 26, 2001. (http://jipam.vu.edu.au) Copyright University of Victoria
print-version.
monitor-version.
With H. L. Pedersen,
Pick functions related to the Gamma function.
Rocky Mountain Journal of Math. 32 no. 2, 507-525 (2002)
pdf-file.
On infinitely divisible solutions to indeterminate moment
problems.
In: Proceedings of the International
Workshop "Special Functions", Hong Kong, June 21-25, 1999. Ed. C. Dunkl,
M. Ismail, R. Wong. World Scientific, Singapore 2000, pp. 31-41.
ps-file.
dvi-file.
With H. L. Pedersen,
A completely monotone function related to the Gamma function.
J. Comput. Appl. Math., Vol. 133 (2001), 219-230.
ps-file.
dvi-file.
pdf-file.
With A. Ruffing,
Generalized q-Hermite Polynomials.
Commun. Math. Phys. 223,1 (2001), 29-46
paper.
With Y. Chen and M.E.H. Ismail,
Small eigenvalues of large Hankel matrices: The indeterminate
case. Math. Scand., Vol. 91 (2002), 67-81
ps-file.
From discrete to absolutely continuous solutions of indeterminate
moment problems. Arab. J. Math. Sc. 4, no.2 (1998), 1-18.
ps-file.
dvi-file.
On some indeterminate moment problems for measures on a
geometric progression. J. Comput. Appl. Math.99 (1998), 67-75.
J. Comput. Appl. Math..
ps-file.
dvi-file.
With A.J. Duran, Orthogonal polynomials, $L^2$-spaces
and entire functions , Math. Scand.79 (1996), 209-223.
ps-file.
dvi-file.
With A.J. Duran, Measures with finite index of
determinacy or a mathematical model for Dr. Jekyll and Mr. Hyde,
Proc. Amer. Math. Soc. 125 (1997), 523-530.
ps-file.
dvi-file.
With M.E.H. Ismail, Q-Hermite polynomials and classical
orthogonal polynomials, Can. J. Math. 48 (1996), 43-63.
ps-file.
dvi-file.
Recent results about moment problems,
In: Probability Measures on Groups and Related Structures, XI Proceedings
Oberwolfach 1994.
Ed. H. Heyer, World Scientific, Singapore 1995.
ps-file.
dvi-file.
Moment problems and polynomial approximation,
Ann. Fac. Sci. Toulouse Math\'ematiques, 1996, 9-32.
Num\'ero sp\'ecial Stieltjes.
ps-file.
dvi-file.
Complete list of publications
You can retrieve my complete list of publications as
pdf-file.
Christian Berg
Professor, dr. phil.
Institute for Mathematical Sciences
University of Copenhagen
DK-2100 Copenhagen
Phone: (+45) 3532 0728
Fax: (+45) 3532 0704
email: berg@math.ku.dk
