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On the fundamental inequality for degenerate systems of entire functions

Published online by Cambridge University Press:  22 January 2016

Nobushige Toda
Nobushige Toda*
Affiliation:
Department of Mathematics,, Nagoya Institute of Technology Showa-ku, Nagoya 466Japan
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Let f═(f0, f1, …, fn) (n ≧ 1) be a transcendental system in ∣z∣ < ∞. That is, f0, f1,…, fn are entire functions without common zeros and the characteristic function of f defined by H.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 91 , September 1983 , pp. 37 - 47
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1983

References

[1] Cartan, H., Sur les zéros des combinaisons linéaires de p fonctions holomorphes données, Mathematica, 7 (1933), 5–31.Google Scholar
[2] Hayman, W. K., Meromorphic functions, Clarendon Press, Oxford, 1964.Google Scholar
[3] Shiifman, B., On holomorphic curves and meromorphic maps in projective space, Indiana Univ. Math. J., 28 (1979), 627–641.CrossRefGoogle Scholar
[4] Toda, N., Sur quelques combinaisons linéaires exceptionnelles au sens de Nevanlinna, Tôhoku Math. J., 23 (1971), 67–95.Google Scholar
[5] Toda, N., Sur l’inégalité fondamentale de H. Cartan pour les systèmes de fonctions entières, Nagoya Math. J., 83 (1981), 5–14.Google Scholar