Asymptotics for generalized Riordan arrays. Wilson, M. C. In 2005 International Conference on Analysis of Algorithms, of Discrete Math. Theor. Comput. Sci. Proc., AD, pages 323-333 (electronic), 2005. Assoc. Discrete Math. Theor. Comput. Sci., Nancy.
Asymptotics for generalized Riordan arrays [link]Paper  abstract   bibtex   
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.
@inproceedings {Wils2005,
    AUTHOR = {Wilson, Mark C.},
     TITLE = {Asymptotics for generalized {R}iordan arrays},
 BOOKTITLE = {2005 {I}nternational {C}onference on {A}nalysis of
              {A}lgorithms},
    SERIES = {Discrete Math. Theor. Comput. Sci. Proc., AD},
     PAGES = {323-333 (electronic)},
 PUBLISHER = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy},
      YEAR = {2005},
       keywords={ACSV theory},
  url_Paper={},
  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.}
 }

Downloads: 0