Some Properties and Characterizations of A-normal Functions
نویسنده
چکیده
Let M be the set of all functions meromorphic on D {z E C [z[ < 1}. For a E (0, 1], a function f e M is called a-normal function of bounded (vanishing) type or f N (N), if supzeD(1 --[Z[)=f#(Z) < OC (limzl_.,(1 --[z[)=f#(z) 0). In this paper we not only show the discontinuity of N and N relative to containment as a varies, which shows 0<=<1 N= C UBC’o, but also give several characterizations of N and N which are real extensions for characterizations of N and No.
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