Localization and Perturbation of Zeros of Entire Functions (Othe... Cover Art

Localization and Perturbation of Zeros of Entire Functions (Other)

By: Michael Gil (Author)


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Publisher's note

As the first book that presents a systematic exposition of bounds for the zeros of entire functions, this text offers a new approach to the investigation of entire functions based on estimates for the resolvents of compact operators. It focuses on bounds for the zeros and variations of zeros under perturbations while dealing with the operator approach to the theory of analytic functions. The book covers the well-known results of the Hadamard theorem, the Jensen inequality, the Ostrowski inequalities, and the Hurwitz theorem. It also investigates approximations of the sums of the Taylor series and the distance between zeroes of the Taylor series.


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