author: | Mark C. Wilson |
---|---|
title: | Asymptotics of Riordan arrays |
keywords: | bivariate asymptotics, generating function |
abstract: | The machinery of Riordan arrays has been used recently by several authors. We show how meromorphic singularity analysis can be used to provide uniform bivariate asymptotic expansions, in the central regime, for a generalization of these arrays. We show how to do this systematically, for various descriptions of the array. Several examples from recent literature are given. |
If your browser does not display the abstract correctly (because of the different mathematical symbols) you may look it up in the PostScript or PDF files. | |
reference: | Mark C. Wilson (2005), Asymptotics of Riordan arrays, in 2005 International Conference on Analysis of Algorithms, Conrado Martínez (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AD, pp. 323-334 |
bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
ps.gz-source: | dmAD0129.ps.gz (88 K) |
ps-source: | dmAD0129.ps (216 K) |
pdf-source: | dmAD0129.pdf (122 K) |
The first source gives you the `gzipped' PostScript, the second the plain PostScript and the third the format for the Adobe accrobat reader. Depending on the installation of your web browser, at least one of these should (after some amount of time) pop up a window for you that shows the full article. If this is not the case, you should contact your system administrator to install your browser correctly.
Due to limitations of your local software, the two formats may show up differently on your screen. If eg you use xpdf to visualize pdf, some of the graphics in the file may not come across. On the other hand, pdf has a capacity of giving links to sections, bibliography and external references that will not appear with PostScript.