Integral approximants

Published: 01-01-1997| Version 1 | DOI: 10.17632/j6nfh667gh.1
M.J. Velgakis,
G.A. Baker,
J. Oitmaa


Abstract The approximation problem for multivalued functions on the complex plane is discussed. A sub-class of Hermite-Padé approximants is defined and the supporting theory is developed, inspired by the Riemann monodromy theorem. It is plausibly shown that the method can resolve confluent singularities. The application of the method tested on realistic series gives promises for the method. Title of program: IA Catalogue Id: ADEH_v1_0 Nature of problem We present a novel method of approximating multivalued functions on multiple Riemann sheets, defined by a finite number of coeficients in a power series expansion. The application of the method on realistic series gives promises for the method. The Fortran program is described in some details. Versions of this program held in the CPC repository in Mendeley Data ADEH_v1_0; IA; 10.1016/S0010-4655(96)00111-7 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)