FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1999, VOLUME 5, NUMBER 2, PAGES 527-537

Yu. N. Makarov

Abstract

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```
The Pad\'e--Hermite's approximations to solutions of linear
homogeneous differential equations of the second order with
coefficients --- rational functions in
```$z$ are found.
We use only the general properties of differential and recurrent
equations but not the explicit form of these solutions.

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Last modified: July 6, 1999