Polynomials generated by a three term recurrence relation: bounds for complex zeros

DOI10.1016/j.laa.2004.11.005zbMath1067.30015OpenAlexW2153354766MaRDI QIDQ1774978

A. Sri Ranga, Alex P. da Silva

Publication date: 4 May 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11449/21746

zbMATH Keywords

zeros of polynomialseigenvalue problemsthree term recurrence relations

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 (10)

Biorthogonality and para-orthogonality of \(R_I\) polynomials ⋮ Relations between univalent and orthogonal polynomials ⋮ On polynomials generated by a four-term recurrence relation and linear coefficients ⋮ Spectral properties related to generalized complementary Romanovski-Routh polynomials ⋮ On hyperbolic polynomials with four-term recurrence and linear coefficients ⋮ Kernel polynomials from \(L\)-orthogonal polynomials ⋮ Some properties of classes of real self-reciprocal polynomials ⋮ A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: bounds, asymptotics and zeros ⋮ Szegő and para-orthogonal polynomials on the real line: Zeros and canonical spectral transformations ⋮ Extended relativistic Toda lattice, L-orthogonal polynomials and associated Lax pair

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