Zeros of the Wronskian of a polynomial

DOI10.1016/0022-247X(91)90160-2zbMath0748.30007MaRDI QIDQ1190578

Karl Dilcher, Kenneth B. Stolarsky

Publication date: 26 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

distribution of zerosalgebraic differential operatorsWronski-determinant

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)

Related Items (12)

On the number of real critical points of logarithmic derivatives and the Hawaii conjecture ⋮ Zeros of certain rational approximations to the cosecant ⋮ Criterion of the reality of zeros in a polynomial sequence satisfying a three-term recurrence relation ⋮ On the number of non-real zeroes of a homogeneous differential polynomial and a generalisation of the Laguerre inequalities ⋮ Maximal univalent disks of real rational functions and Hermite-Biehler polynomials ⋮ On a class of nonlinear differential operators acting on polynomials ⋮ Stable regions of Turán expressions ⋮ Around a Conjecture of K. Tran ⋮ Nonreal zeros of polynomials in a polynomial sequence satisfying a three-term recurrence relation ⋮ Zeros of the Wronskian of Chebyshev and ultraspherical polynomials ⋮ Real Wronskian zero of polynomials with nonreal zeros ⋮ Linear operators and the distribution of zeros of entire funtions

Cites Work

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• The zeros of derivatives of entire functions and the Pólya-Wiman conjecture
• Real Wronskian zero of polynomials with nonreal zeros
• Sums of products of functions of x times functions of y
• Zeros of certain rational approximations to the cosecant
• Zeros of the Wronskian of Chebyshev and ultraspherical polynomials
• A Generalization of a Theorem of Bôcher
• Some Inequalities Concerning Jacobi Polynomials

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