圆内亚纯函数与其微分多项式的公共Borel点

Abstract

Abstract:

Let f be a meromorphic function of finite positive order in the unit circle and F be a differential polynomial in f, If the order of growth of F is same as that of f, then the Borel points of F must be the Borel points of f. In particular the Borel points of a monomial in f are also the Borel points of f under certain conditions. In addition, A result on orders of homogeneous differential polynomial due to Singh,A.P.is generalized.

Key words: Meromorphic functions, Differential polynomial, Borel points

CLC Number:

Wu Guirong Pan Biao. On Common Borel Points of a Meromorphic Function and its Differential Polynomial in the Unit Circle[J].Acta mathematica scientia,Series A, 2000, 20(4): 540-546.

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References

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On Common Borel Points of a Meromorphic Function and its Differential Polynomial in the Unit Circle

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