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\(q\)-order and \(q\)-type of functions and sets of polynomials of two complex variables. (English) Zbl 0905.32001

Summary: The \(q\)-order and \(q\)-type of entire functions and sets of polynomials of two complex variables are considered, and their coefficient characterizations are obtained. Further, the representation of some entire functions of prescribed \(q\)-growth, and the linear substitution of entire functions and sets of polynomials are obtained. The \(q\)-order of the inverse, product and similar sets of polynomials are also introduced.

MSC:

32A15 Entire functions of several complex variables
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