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More Explorations in Complex Functions

More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions. Both texts introduce a variety of topics, from core material in the mainstream of complex analysis to tools that are widely used in other areas of mathematics and applications, but there is...

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Bibliografski detalji
Glavni autori: Beals, Richard (Autor), Wong, Roderick S.C (Autor)
Autor kompanije: SpringerLink (Online service)
Format: Elektronički e-knjiga
Jezik:engleski
Izdano: Cham : Springer Nature Switzerland : Imprint: Springer, 2023.
Izdanje:1st ed. 2023.
Serija:Graduate Texts in Mathematics, 298
Teme:
Functions of complex variables.
Special functions.
Number theory.
Functions of a Complex Variable.
Special Functions.
Number Theory.
Online pristup:https://doi.org/10.1007/978-3-031-28288-1
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Sadržaj:
  • 1. Basics
  • 2. Further preliminaries
  • 3. Complex dynamics
  • 4. Univalent functions and de Brange's theorem
  • 5. Harmonic and subharmonic functions; the Dirichlet problem
  • 6. General Riemann surfaces
  • 7. The uniformization theorem
  • 8. Quasiconformal mapping
  • 9. Introduction to Teichmüller theory
  • 10. The Bergman kernel
  • 11. Theta functions
  • 12. Padé approximants and continued fractions
  • 13. Riemann–Hilbert problems
  • 14. Asymptotic and Darboux's method
  • References
  • Index.

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