Nevanlinna theory and complex differential equations
Shows how the Nevanlinna theory may be applied to gain insight into complex differential equations. Chapter topics include results from function theory; the Nevanlinna theory of meromorphic functions; Wilman-Valiron theory; linear differential equations with zero distribution in the second order cas...
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| Hlavní autor: | |
|---|---|
| Médium: | E-kniha Kniha |
| Jazyk: | angličtina |
| Vydáno: |
Berlin ; New York
W. de Gruyter
1993
Walter de Gruyter GmbH De Gruyter |
| Vydání: | 1 |
| Edice: | De Gruyter Studies in Mathematics |
| Témata: | |
| ISBN: | 3110134225, 9783110134223 |
| On-line přístup: | Získat plný text |
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Obsah:
- Intro -- Introduction -- Chapter 1. Results from function theory -- Chapter 2. Nevanlinna theory of meromorphic functions -- Chapter 3. Wiman-Valiron theory -- Chapter 4. Linear differential equations: basic results -- Chapter 5. Linear differential equations: zero distribution in the second order case -- Chapter 6. Complex differential equations and the Schwarzian derivative -- Chapter 7. Higher order linear differential equations -- Chapter 8. Non-homogeneous linear differential equations -- Chapter 9. Basic non-linear differential equations -- Chapter 10. The Malmquist-Yosida-Steinmetz type theorems -- Chapter 11. First order algebraic differential equations -- Chapter 12. Second order algebraic differential equations -- Chapter 13. Algebraic differential equations of arbitrary order -- Chapter 14. Algebraic differential equations and differential fields -- Bibliography -- Index