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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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Localization and Perturbation of Zeros of Entire Functions (Paperback)
Loot Price: R2,528
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Localization and Perturbation of Zeros of Entire Functions (Paperback)
Series: Lecture Notes in Pure and Applied Mathematics
Expected to ship within 12 - 19 working days
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One of the most important problems in the theory of entire
functions is the distribution of the zeros of entire functions.
Localization and Perturbation of Zeros of Entire Functions is the
first book to provide a systematic exposition of the bounds for the
zeros of entire functions and variations of zeros under
perturbations. It also offers a new approach to the investigation
of entire functions based on recent estimates for the resolvents of
compact operators. After presenting results about finite matrices
and the spectral theory of compact operators in a Hilbert space,
the book covers the basic concepts and classical theorems of the
theory of entire functions. It discusses various inequalities for
the zeros of polynomials, inequalities for the counting function of
the zeros, and the variations of the zeros of finite-order entire
functions under perturbations. The text then develops the
perturbation results in the case of entire functions whose order is
less than two, presents results on exponential-type entire
functions, and obtains explicit bounds for the zeros of
quasipolynomials. The author also offers additional results on the
zeros of entire functions and explores polynomials with matrix
coefficients, before concluding with entire matrix-valued
functions. This work is one of the first to systematically take the
operator approach to the theory of analytic functions.
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