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VOLUME 39 (1984) | ISSUE 2 | PAGE 84
The Milne problem and higher orders of the WKBJ approximation
A linear third-order equation, which is equivalent to the Milne equation, is derived. This equation is used to formulate a new version of the WKBJ approximation, in which the expansion has an extremely simple structure. A condition for the applicability for the higher-order corrections of the WKBJ expansion is found.