Harmonic mappings onto parallel slit domains

• Autorzy: Michael Dorff , Maria Nowak , Magdalena Wołoszkiewicz
• Języki publikacji: EN

Abstrakty

EN

We consider typically real harmonic univalent functions in the unit disk 𝔻 whose range is the complex plane slit along infinite intervals on each of the lines x ± ib, b > 0. They are obtained via the shear construction of conformal mappings of 𝔻 onto the plane without two or four half-lines symmetric with respect to the real axis.

Kategorie tematyczne

• 31A05: Harmonic, subharmonic, superharmonic functions
• 30C55: General theory of univalent and multivalent functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 101
• Numer: 2
• Strony: 149-162

Daty

wydano

2011

Twórcy

autor

Michael Dorff

• Department of Mathematics, Brigham Young University, Provo, UT 84602, U.S.A.

autor

Maria Nowak

• Department of Mathematics, Maria Curie-Skłodowska University, 20-031 Lublin, Poland

autor

Magdalena Wołoszkiewicz

• Department of Mathematics, Maria Curie-Skłodowska University, 20-031 Lublin, Poland

Identyfikatory

DOI

10.4064/ap101-2-5