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[Licence| Download | New Version Template] adeh_v1_0.gz(28 Kbytes)
Manuscript Title: Integral approximants.
Authors: M.J. Velgakis, G.A. Baker Jr, J. Oitmaa
Program title: IA
Catalogue identifier: ADEH_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 99(1997)307
Programming language: Fortran.
Computer: DEC MicroVAX 3300.
Operating system: VAX/VMS 5.0, DEC OSF/1 AXP.
Keywords: General purpose, Fit, Monodromy, Riemann's theorem, Hermite Pade approximants, Riemann sheet, Series expansions, Confluent singularity.
Classification: 4.9.

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.

Solution method:
The method relies on the Riemann's monodromy theorem for monogenic analytic functions.