Estimates for the orders of zeros of polynomials in some analytic functions

DOI10.1134/S0001434608070195zbMath1219.30003MaRDI QIDQ635604

A. P. Dolgalev

Publication date: 20 August 2011

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

analytic functiondifferential equationhomogeneous idealalgebraic closurealgebraic independencesimple idealring of polynomials

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Transcendence (general theory) (11J81) Polynomials and rational functions of one complex variable (30C10)

Related Items (1)

On the algebraic independence of functions of a certain class

Cites Work

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• Transcendental numbers. With a foreword by W. Dale Brownawell. Transl. from the Russian by Neal Koblitz
• Оценки числа нулей функций некоторых классов
• Multiplicity estimates for analytic functions. I.

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