Diagonal Padé approximants to hyperelliptic functions

Herbert Stahl

Displaying similar documents to “Diagonal Padé approximants to hyperelliptic functions”

Laguerre-Like Methods for the Simultaneous Approximation of Polynomial Multiple Zeros

Miodrag Petković, Lidija Rančić, Dušan Milošević (2006)

The Yugoslav Journal of Operations Research

Similarity:

Analytic continuation of fundamental solutions to differential equations with constant coefficients

Christer O. Kiselman (2011)

Annales de la faculté des sciences de Toulouse Mathématiques

Similarity:

If $P$ is a polynomial in $R^{n}$ such that $1 / P$ integrable, then the inverse Fourier transform of $1 / P$ is a fundamental solution $E_{P}$ to the differential operator $P (D)$ . The purpose of the article is to study the dependence of this fundamental solution on the polynomial $P$ . For $n = 1$ it is shown that $E_{P}$ can be analytically continued to a Riemann space over the set of all polynomials of the same degree as $P$ . The singularities of this extension are studied.