The common value and uniqueness theorems of algebroid functions

المؤلفون

  • Fujie Chai LMIB & School of Mathematics and Systems Science, Beihang University
  • Zongsheng Gao LMIB & School of Mathematics and Systems Science, Beihang University

DOI:

https://doi.org/10.14419/gjma.v3i1.4117

الكلمات المفتاحية:

Algebroid functions، Common values، Growth، Uniqueness Theorems.

الملخص

In this paper, we investigate the common values and growth relationship between two algebroid functions and prove several growth theorems involving common values. Moreover, on this basis, we study uniqueness theory of algebroid function and prove several elegant uniqueness theorems.

المراجع

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[8] D.C. Sun, Z.S. Gao, Value Distribution of Algebroidal Functions, Sicence Press, Beijing, (2014).

[9] Z.X. Xuan, Z.S. Gao, Uniqueness theorem for algebroid functions, Complex Variables and Elliptic Equations., Vol.51, No.7, (2006), pp. 701-712.

[10]L. Yang, Value Distribution Theory and its New Reaserch, Springer-Verlag, Berlin Heidelberg, (1993).

[11]C.C. Yang, H.X. Yi, Uniqueness Theory for Meromorphic Functions, Kluwer Academic Publishers, Boston, (2003).

[12]X.M. Zhang, D.C. Sun, Uniqueness of algebroidal functions, Acta. Math. Sci., Vol.31A, No.4, (2011), pp. 1133-1139.

التنزيلات

منشور

09-02-2015

إصدار

القسم

Articles

كيفية الاقتباس

Chai, F., & Gao, Z. (2015). The common value and uniqueness theorems of algebroid functions. Global Journal of Mathematical Analysis, 3(1), 26-32. https://doi.org/10.14419/gjma.v3i1.4117