Approximation and value distribution (Q2758402)

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scientific article; zbMATH DE number 1679777
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Approximation and value distribution
scientific article; zbMATH DE number 1679777

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    6 December 2001
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    entire function
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    meromorphic function
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    Nevanlinna theory
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    approximation
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    Approximation and value distribution (English)
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    These lectures are devoted to the demonstration of methods and results of the theory of uniform and tangential approximation by entire functions in the different problems of the value distribution theory of R. Nevanlinna.NEWLINENEWLINENEWLINEThey are divided into three parts.NEWLINENEWLINENEWLINEThe basic notions and facts of value distribution theory and tangential theory are presented in the first section. In the second part the author has generalized and studied Nevanlinna's deficiency relation. The new construction of entire functions of finite order with given infinite sequence of deficient and index values is demonstrated in the third section.NEWLINENEWLINEFor the entire collection see [Zbl 0972.00045].
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