Arithmetic mean function of the real part of entire Dirichlet series I
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چکیده
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Relative order and type of entire functions represented by Banach valued Dirichlet series in two variables
In this paper, we introduce the idea of relative order and type of entire functions represented by Banach valued Dirichlet series of two complex variables to generalize some earlier results. Proving some preliminary theorems on the relative order, we obtain sum and product theorems and we show that the relative order of an entire function represented by Dirichlet series is the same as that of i...
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15 صفحه اولValues of Entire Functions Represented by Gap Dirichlet Series
Introduction. In two previous notes [9],1 I stated some results which, in a general way, may be expressed as follows: If the Taylor series which represents an entire function satisfies a certain gap condition (which depends only on the order of F(z)), the zeros of F(z) —f(z) are not exceptional with respect to the proximate order of F(z) by any meromorphic function f(z) ^ w of lower order. On t...
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 1975
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-31-2-179-185