Darboux functions and power series expansions with examples from isoelectronic sequences
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
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.
IdentifiersURN: urn:nbn:se:uu:diva-180781DOI: 10.1002/qua.560060609ISI: A1972O410800008OAI: oai:DiVA.org:uu-180781DiVA: diva2:551718