ArticleOriginal scientific text

Title

A univalence criterion for meromorphic functions

Authors 1, 1

Affiliations

  1. Institute of Mathematics, Maria Curie-Skłodowska University, Pl. Marii Curie-Skłodowskiej 1, 20-031 Lublin, Poland

Abstract

A sufficient univalence condition for meromorphic functions is given

Keywords

Löwner chain, Schwarz derivative

Bibliography

  1. L. V. Ahlfors, Sufficient conditions for quasiconformal extension, in: Ann. of Math. Stud. 79, Princeton Univ. Press, 1974, 23-29.
  2. J. Becker, Über homöomorphe Fortsetzung schlichter Funktionen, Ann. Acad. Sci. Fenn. 538 (1973), 3-11.
  3. Z. Nehari, The Schwarzian derivative and schlicht functions, Bull. Amer. Math. Soc. 55 (1949), 545-551.
  4. Ch. Pommerenke, On the Epstein univalence criterion, Results Math. 10 (1986), 143-146.
  5. Ch. Pommerenke, Über die Subordination analytischer Funktionen, J. Reine Angew. Math. 218 (1965), 159-173.
  6. A. Wesołowski, On certain univalence criteria, Colloq. Math. 62 (1991), 39-42
Pages:
63-66
Main language of publication
English
Received
1990-05-23
Accepted
1991-01-25
Published
1991
Exact and natural sciences