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Bloch函数和小Bloch函数判别准则的推广(英文)

A generalization of a criterion of Bloch functions and little Bloch functions
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摘要 研究了Bloch函数和小Bloch函数的判别准则,并且推广了Aulaskari-lappan,Minda,Aulaskari-Wulan和Wu的结果。 In this paper, we investigate the criterion of Bloch function and little Bloch function, we obtain an extended results of Aulaskari-Lappan, Minda, Aulaskari-Wulan and Wu.
出处 《贵州师范大学学报(自然科学版)》 CAS 2006年第3期84-87,98,共5页 Journal of Guizhou Normal University:Natural Sciences
基金 Research supported by the governor foundation of Guizhou province[02 No.1]and Guizhou special outstanding scientist foundation.
关键词 BLOCH函数 小Bloch函数 Bloch function little Bloch function
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参考文献6

  • 1R. Aulaskari and P. Lappan. A criterion for a rotation automorphic function to be normal [J]. Bun. Inst. Math.Acad. Sinica, 1987,15:73-79.
  • 2R. Aulaskari and H. wulan. A version of the Lohwater-Pommerenke theorem for strongly normal functions [J].Computational Methods and Function Theory, 2001,1:99-105.
  • 3D. Minda. Bloch and normal functions on general planar regions, Holomorphic functions and moduli [M]. Math. Sci. Res. Publ. 10,1988:101-110.
  • 4X. C. Pang. Bloch's principle and normal criterion [J].Sci. China Ser. 1989,A 32:781-491.
  • 5L. Zalcman. A heruistic principle in complex function theory[J]. Amer. Math. Monthly, 1975,82:813-817.
  • 6Pengcheng Wu. A criterion of Bloch functions and little Bloch functions [J]. to appear.

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