On localization of zeros of an entire function of finite order of growth

DOI10.1007/S11785-016-0606-8zbMath1361.30043OpenAlexW2549799537WikidataQ59480972 ScholiaQ59480972MaRDI QIDQ523051

Olga V. Khodos, Aleksandr Mechislavovich Kytmanov

Publication date: 20 April 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-016-0606-8

zbMATH Keywords

entire functions of finite order of growthlocalization of zeros

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items (10)

On a Formula for Calculating the Resultant of Two Entire Functions ⋮ On Transcendental Systems of Equations ⋮ On an approach to finding sums of multiple numerical series ⋮ ON FINDING THE RESULTANT OF TWO ENTIRE functions ⋮ The Hurwitz-type theorem for the regular Coulomb wave function via Hankel determinants ⋮ Unnamed Item ⋮ An algorithm for constructing the resultant of two entire functions ⋮ An approach to the determination of the resultant of two entire functions ⋮ On an Analog of Descartes’ Rule of Signs and the Budan-Fourier Theorem for Entire Functions ⋮ One Proof of the Fundamental Theorem of Algebra (of Polynomials)

Cites Work

• An approach to define the resultant of two entire functions
• The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations
• On Hankel and Toeplitz matrices and signatures of Toeplitz forms
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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