Abstract
The present chapter is devoted to applications of our abstract results to the theory of finite order entire functions. We consider the following problem: if the Taylor coefficients of two entire functions are close, how close are their zeros? In addition, we establish bounds for sums of the absolute values of the zeros in the terms of the coefficients of its Taylor series. These bounds supplement the Hadamard theorem.
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© 2003 Springer-Verlag Berlin Heidelberg
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Gil’, M.I. (2003). 19 Zeros of Entire Functions. In: Operator Functions and Localization of Spectra. Lecture Notes in Mathematics, vol 1830. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45225-6_19
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DOI: https://doi.org/10.1007/978-3-540-45225-6_19
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20246-2
Online ISBN: 978-3-540-45225-6
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