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ArticleOriginal scientific text

Title

The classes of univalent functions connected with homographies

Authors 1

Affiliations

  1. Institute of Mathematics, Technical University of Silesia, Zwycięstwa 42, 44-100 Gliwice, Poland

Abstract

We define some new classes of univalent functions. The Schiffer differential equations are obtained for extremal functions from some of these classes.

Bibliography

  1. J. A. Hummel and M. M. Schiffer, Variational methods for Bieberbach-Eilenberg functions and for pairs, Ann. Acad. Sci. Fenn. Ser. AI Math. 3 (1977), 3-52.
  2. I. Kra, Automorphic Forms and Kleinian Groups, Benjamin, Reading, Mass., 1972.
  3. J. Krzyż and J. Ławrynowicz, Elements of Complex Analysis, WNT, Warszawa 1981 (in Polish).
  4. H. L. Royden, The coefficient problems for bounded schlicht functions, Proc. Nat. Acad. Sci. U.S.A. 11 (1949), 657-662.
  5. S. Saks and A. Zygmund, Analytic Functions, PWN, Warszawa 1953.
  6. A. C. Schaeffer and D. C. Spencer, Coefficient Regions for Schlicht Functions, Amer. Math. Soc., New York 1950.
Annales Polonici Mathematici
1991/55/1
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Pages:
349-355
Main language of publication
English
Received
1990-05-10
Published
1991
Exact and natural sciences