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| File | Description | Size | Format | |
|---|---|---|---|---|
| Lectures_in_Mathematics_15.pdf | 14.95 MB | Adobe PDF | View/Open |
| Title: | Lectures on algebraic solutions of hypergeometric differential equations |
| Authors: | Matsuda, Michihiko |
| Author's alias: | 松田, 道彦 |
| Issue Date: | 1985 |
| Publisher: | Kinokuniya |
| Journal title: | Lectures in Mathematics |
| Volume: | 15 |
| Table of contents: | Chapter I. Schwarz' theorem. §1. Kummer's table and Gauss' transformations [1] §2. Reducibility and logarithmic singularity [7] §3. Schwarz' table [13] Chapter II. Landau's criterion. §4. Eisenstein's theorem [20] §5. Landau's first and second theorems [25] §6. Rough estimation [33] Note. Honda's theorem [42] Chapter III. Klein's settling. §7. Reduction through Kummer's equation [48] §8. Explicit description of algebraic solutions [57] Chapter IV. Landau-Errera's theorem. §9. Errera's lemma [66] §10. Two lemmata [74] §11. Attainment of Schwarz' table [78] Chapter V. Transcendental liouvillian solutions. §12. Picard-Vessiot's theory [92] §13. Liouville's lemma [96] §14. Kuga's theorem [101] Note. Bessel's equation [106] Bibliography [110] |
| URI: | http://hdl.handle.net/2433/84920 |
| Appears in Collections: | Lectures in Mathematics : Department of Mathematics, Kyoto University |
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