ArticleOriginal scientific text

Title

Subordination theory for holomorphic mappings of several complex variables

Authors 1, 1

Affiliations

  1. Faculty of Mathematics, Babeş-Bolyai University, R-3400 Cluj-Napoca, Romania

Abstract

The authors obtain a generalization of Jack-Miller-Mocanu's lemma and, using the technique of subordinations, deduce some properties of holomorphic mappings from the unit polydisc in n into n.

Bibliography

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  3. G. Kohr and M. Kohr-Ile, Partial differential subordinations and inequalities for holomorphic mappings of several complex variables, Ms., to appear.
  4. P. Liczberski, Jack's Lemma for holomorphic mappings, Ann. Univ. Mariae Curie-Skłodowska, Sect. A, 40 (1986), 131-139.
  5. S. S. Miller and P. T. Mocanu, Second order differential inequalities in the complex plane, J. Math. Anal. Appl., 65 (1978), 289-305.
  6. S. S. Miller and P. T. Mocanu, Differential subordinations and univalent functions, Michigan Math. J., 20 (1981), 157-171.
  7. S. S. Miller and P. T. Mocanu, The theory and applications of second order differential subordinations, Studia Univ. Babeş-Bolyai (Mathematica), 34 (1989), 13-33.
  8. T. J. Suffridge, The principle of subordination applied to functions of several variables, Pacific J. Math., 33 (1970), 241-248.
  9. T. J. Suffridge, Starlike and convex maps in Banach spaces, Pacific J. Math., 46 (1973), 575-589.
Pages:
129-134
Main language of publication
English
Published
1996
Exact and natural sciences