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Using Ahlfors' covering surface method, some properties on the strong Borel direction of algebroid function of finite order are obtained. The main object of this paper is to prove existence theorem of a strong Borel direction and the existence of filling discs in such direction, which briefly extends some results of meromorphic function.
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참고문헌 (14)
참고문헌 신청
A. Rauch / 1933 / Extension de theoremes relatifs aux directions de Borel des functions meromorphes / J. Math. Pures Appl. 12 : 109 ~ 171
D. C. Sun / 1995 / Filling discs of algebroid function / Chinese Ann. Math. Ser. A 16 (2) : 238 ~ 243
D. C. Sun / 2007 / The growth of algebroidal function / J. Math. Anal. Appl. 332 (1) : 542 ~ 550
G. P. Li / / The Theory on Cluster Line of Meormorphic Function / Wuhan University Press
G. Valiron / 1931 / Sur la derivee des fonctions algebroıdes / Bull. Soc. Math. France 59 : 17 ~ 39
D. C. Sun / 1995 / Filling discs of algebroid function / Chinese Ann. Math. Ser. A 16 (2) : 238 ~ 243
D. C. Sun / 2007 / The growth of algebroidal function / J. Math. Anal. Appl. 332 (1) : 542 ~ 550
G. P. Li / / The Theory on Cluster Line of Meormorphic Function / Wuhan University Press
G. Valiron / 1931 / Sur la derivee des fonctions algebroıdes / Bull. Soc. Math. France 59 : 17 ~ 39
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