Classical topics in complex function theory

Détails bibliographiques
Auteur principal : Remmert Reinhold (Auteur)
Autres auteurs : Kay Leslie (Traducteur)
Format : Livre
Langue : anglais
Titre complet : Classical topics in complex function theory / Reinhold Remmert; translated by Leslie Kay
Publié : New York : Springer , C 1998
Description matérielle : 1 vol. (XIX-349 p.)
Collection : Graduate texts in mathematics ; 172
Titre de l'ensemble : Graduate texts in mathematics vol. 172
Traduction de : Funktionentheorie II
Sujets :
  • A. Infinite Products and Partial Fraction Series
  • 1. Infinite Products of Holomorphic Functions
  • 2. The Gamma Function
  • 3. Entire Functions with Prescribed Zeros
  • 4*. Holomorphic Functions with Prescribed Zeros
  • 5. Iss'sa's Theorem. Domains of Holomorphy
  • 6. Functions with Prescribed Principal Parts
  • B. Mapping Theory
  • 7. The Theorems of Montel and Vitali
  • 8. The Riemann Mapping Theorem
  • 9. Automorphisms and Finite Inner Maps
  • C. Selecta
  • 10. The Theorems of Bloch, Picard and Schottky
  • 11. Boundary Behavior of Power Series
  • 12. Runge Theory for Region
  • 14. Invariance of the Number of Holes