DOAJ Open Access 2007

A new method for computing asymptotics of diagonal coefficients of multivariate generating functions

Alexander Raichev Mark C. Wilson

Lihat Sumber DOI

Abstrak

Let $\sum_{\mathbf{n} \in \mathbb{N}^d} F_{\mathbf{n}} \mathbf{x}^{\mathbf{n}}$ be a multivariate generating function that converges in a neighborhood of the origin of $\mathbb{C}^d$. We present a new, multivariate method for computing the asymptotics of the diagonal coefficients $F_{a_1n,\ldots,a_dn}$ and show its superiority over the standard, univariate diagonal method. Several examples are given in detail.

Topik & Kata Kunci

Mathematics

Penulis (2)

Alexander Raichev

Mark C. Wilson

Format Sitasi

APA MLA BibTeX

Raichev, A., Wilson, M.C. (2007). A new method for computing asymptotics of diagonal coefficients of multivariate generating functions. https://doi.org/10.46298/dmtcs.3531

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.3531

Informasi Jurnal

Tahun Terbit: 2007
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.3531
Akses: Open Access ✓