Some properties of the D'Alembert functions of celestial mechanics. IV

Details Some properties of the D'Alembert functions of celestial mechanics. IV Some properties of the D'Alembert functions of celestial mechanics. IV

Oct 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977primm..41..870k&link_type=abstract

Prikladnaia Matematika i Mekhanika, vol. 41, Sept.-Oct. 1977, p. 870-875. In Russian.

Mathematics

Functional Analysis

Analytic Functions, Celestial Mechanics, Power Series, Convergence, Equations Of Motion, Functional Analysis, Series Expansion

Scientific paper

It is demonstrated that the D'Alembert characteristic of functions of celestial mechanics is a result of holomorphicity of an unbounded region and of some functional relationship. The radius of convergence of the appropriate power series expansions is determined by the dimensions of the region. Estimates are obtained for the general term and the remainder of the appropriate series.

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