A characterization of holomorphic bivariate functions of bounded index
Keyword(s):
AbstractThe following notion of bounded index for complex entire functions was presented by Lepson. functionThe main goal of this paper is extend this notion to holomorphic bivariate function. To that end, we obtain the following definition. A holomorphic bivariate function is of bounded index, if there exist two integersUsing this notion we present necessary and sufficient conditions that ensure that a holomorphic bivariate function is of bounded index.
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