Tohoku Mathematical Journal
2014
September
SECOND SERIES VOL. 66, NO. 3

Tohoku Math. J.
66 (2014), 409-425

Title ON THE GROWTH ORDER OF AN ALGEBROID FUNCTION WITH RADIALLY DISTRIBUTED VALUES IN THE UNIT DISK

Author Nan Wu and Jian-Hua Zheng

(Received March 28, 2013, revised August 9, 2013)
Abstract. For an algebroid function in the unit disk of finite lower order with a deficient value, we can estimate its growth order in terms of the convergence exponent of the points of the deficient value and other distinct values not lying on a radial system and the maximal difference of the arguments of adjacent rays.

Mathematics Subject Classification. Primary 30D10; Secondary 30D20, 30B10, 34M05.
Key words and phrases. Algebroid function, order, deficient value.

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