Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We study functions f(z) which are meromorphic and univalent in the unit disk with a simple pole at z = p, 0 < p < 1, and which map the unit disk onto a domain whose complement is either convex or is starlike with respect to a point w₀ ≠ 0.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
275-291
Opis fizyczny
Daty
wydano
1994
otrzymano
1993-10-04
Twórcy
autor
- Department of Mathematical Sciences University of Delaware 501 Ewing Hall Newark, Delaware 19716 U.S.A.
Bibliografia
- [1] L. de Branges, A proof of the Bieberbach conjecture, Acta Math. 154 (1985), 137-152.
- [2] A. W. Goodman, Functions typically-real and meromorphic in the unit circle, Trans. Amer. Math. Soc. 8 (1950), 92-105.
- [3] J. A. Jenkins, On a conjecture of Goodman concerning meromorphic univalent functions, Michigan Math. J. 9 (1962), 25-27.
- [4] W. E. Kirwan and G. Schober, Extremal problems for meromorphic univalent functions, J. Analyse Math. 30 (1976), 330-348.
- [5] Y. Komatu, Note on the theory of conformal representation by meromorphic functions I, II, Proc. Japan Acad. 21 (1945), 269-284.
- [6] A. E. Livingston, The coefficients of multivalent close to convex functions, Proc. Amer. Math. Soc. 21 (1969), 545-552.
- [7] J. Miller, Convex meromorphic mappings and related functions, Proc. Amer. Math. Soc. 25 (1970), 220-228.
- [8] J. Miller, Starlike meromorphic functions, Proc. Amer. Math. Soc. 31 (1972), 446-452.
- [9] J. Miller, Convex and starlike meromorphic functions, Proc. Amer. Math. Soc. 80 (1980), 607-613.
- [10] J. Pfaltzgraff and B. Pinchuk, A variational method for classes of meromorphic functions, J. Analyse Math. 24 (1971), 101-150.
- [11] W. C. Royster, Convex meromorphic functions, in Mathematical Essays Dedicated to A. J. MacIntyre, Ohio Univ. Press, Athens, Ohio, 1970, 331-339.
- [12] G. Schober, Univalent Functions - Selected Topics, Lecture Notes in Math. 478, Springer, Berlin, 1975.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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