ASYMPTOTIC SOLUTIONS OF ORDINARY LINEAR DIFFERENTIAL EQUATIONS.
Final progress rept. 15 Sep 63-14 Sep 67,
NATIONAL BUREAU OF STANDARDS WASHINGTON D C
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The principal topics that were successfully investigated were 1 Second-order differential equations having an irregular singularity of arbitary rank. 2 Systems of any number of first-order differential equations having an irregular singularity of arbitrary rank. 3 Phase-integral methods. 4 The method of stationary phase. 5 Laplaces method. 6 The method of steepest descents. Applications of the new theories were made to confluent hypergeometric functions, wave-penetration problems, and various integral representations of special functions. Author
- Numerical Mathematics