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- Brändas, Erkki, et al.
(author)
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Darboux functions and power series expansions with examples from isoelectronic sequences
- 1972
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In: International Journal of Quantum Chemistry. - : Wiley. - 0020-7608 .- 1097-461X. ; 6:S6, s. 59-72
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Journal article (peer-reviewed)abstract
- 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.
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