Entire functions defined by Dirichlet series
نویسندگان
چکیده
منابع مشابه
On Entire Functions Defined by a Dirichlet Series: Correction
1. As pointed out by Sunyer i Balaguer in the preceding paper the proofs of Theorem 1 and of the second part of Theorem 2 of our paper [l ] are faulty. We observe that if we impose the additional hypothesis that Afs(D), is a nonincreasing function for sufficiently small a then the proofs can be made to work. After correction Theorem 1 and the second part of Theore...
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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: Journal of Mathematical Analysis and Applications
سال: 2008
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2007.06.073