Estimates for Holomorphic Functions with Values in C\{0,1}

DOI: 10.4236/apm.2013.36075   PDF   HTML     3,257 Downloads   5,279 Views  

Abstract

Extension of classical Mandelbrojt’s criterion for normality to several complex variables is given. Some inequalities for holomorphic functions which omit values 0 and 1 are obtained.

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P. Dovbush, "Estimates for Holomorphic Functions with Values in C\{0,1}," Advances in Pure Mathematics, Vol. 3 No. 6, 2013, pp. 586-589. doi: 10.4236/apm.2013.36075.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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[2] P. V. Dovbush, “On a Normality Criterion of S. Mandelbrojt,” 2013. http://arxiv.org/abs/1302.1695
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[4] E. M. Chirka, “Harnack Inequalities, Kobayashi Distances and Holomorphic Motions,” Proceedings of the Steklov Institute of Mathematics, Vol. 279, No. 1, 2012, pp. 194-206. doi:10.1134/S0081543812080135
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[6] S. Kobayashi, “Hyperbolic Complex Space,” Springer-Verlag, New York, 1998. doi:10.1007/978-3-662-03582-5

  
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