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Darboux functions and power series expansions with examples from isoelectronic sequences
Uppsala University, Disciplinary Domain of Science and Technology, Faculty of Mathematics and Science.
Uppsala University, Disciplinary Domain of Science and Technology, Faculty of Mathematics and Science.
1972 (English)In: International Journal of Quantum Chemistry, ISSN 0020-7608, E-ISSN 1097-461X, Vol. 6, no S6, 59-72 p.Article in journal (Refereed) Published
Abstract [en]

A procedure for summing a power series based on a Darboux function ansatz is developed. It involves computation of poles and residues of logarithmic derivatives using rational functions. Applications to the helium isoelectronic sequence condense the power series expansion (˜ 40 coefficients) to a few-parameter formula, which exhibits the singularity determining the radius of convergence. Accurate extrapolations of electron affinities and shielding factors are obtained.

Place, publisher, year, edition, pages
1972. Vol. 6, no S6, 59-72 p.
National Category
Chemical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-180781DOI: 10.1002/qua.560060609ISI: A1972O410800008OAI: oai:DiVA.org:uu-180781DiVA: diva2:551718
Available from: 2012-09-12 Created: 2012-09-10 Last updated: 2017-12-07Bibliographically approved

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