A Normality Criterion Concerning the Zeros’ Multiplicity of f<sup>n</sup>f<sup>(k)</sup>+H(f)-b
نویسندگان
چکیده
منابع مشابه
the investigation of the relationship between type a and type b personalities and quality of translation
چکیده ندارد.
Multiplicity of Zeros and Discrete Orthogonal Polynomials
We consider a problem of bounding the maximal possible multiplicity of a zero of some expansions ∑ aiFi(x), at a certain point c, depending on the chosen family {Fi}. The most important example is a polynomial with c = 1. It is shown that this question naturally leads to discrete orthogonal polynomials. Using this connection we derive some new bounds, in particular on the multiplicity of the ze...
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Let F be a family of meromorphic functions on a domain D. We present a quite general sufficient condition for F to be a normal family. This criterion contains many known results as special cases. The overall idea is that certain comparatively weak conditions on F locally lead to somewhat stronger conditions, which in turn lead to even stronger conditions on the limit function g in the famous Za...
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We study normal criterion of meromorphic functions shared values, we obtain the following. Let F be a family of meromorphic functions in a domain D, such that function f ∈ F has zeros of multiplicity at least 2, there exists nonzero complex numbers bf , cf depending on f satisfying i bf/cf is a constant; ii min{σ 0, bf , σ 0, cf , σ bf , cf ≥ m} for some m > 0; iii 1/ck−1 f f ′ k z f z / b f/c ...
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ژورنال
عنوان ژورنال: Pure Mathematics
سال: 2016
ISSN: 2160-7583,2160-7605
DOI: 10.12677/pm.2016.66067