Loci of complex polynomials, part II: polar derivatives

DOI10.1017/S0305004115000341zbMath1371.30007OpenAlexW2260651588MaRDI QIDQ5360339

Hristo S. Sendov, Blagovest Sendov

Publication date: 28 September 2017

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004115000341

zbMATH Keywords

zeros of polynomialspolynomials in the complex plane

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 and rational functions of one complex variable (30C10)

Related Items (6)

Stronger Rolle’s Theorem for Complex Polynomials ⋮ Two Walsh-Type Theorems for the Solutions of Multi-Affine Symmetric Polynomials ⋮ Coninvolutory matrices, multi-affine polynomials, and invariant circles ⋮ Complex multi-affine polynomials and invariant circles ⋮ On loci of complex polynomials of degree three ⋮ Duality between loci of complex polynomials and the zeros of polar derivatives

Cites Work

• Multivariate stable polynomials: theory and applications
• Binomial Identities and Hypergeometric Series
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