Monotonicity of zeros for a class of polynomials including hypergeometric polynomials
From MaRDI portal
Publication:669345
DOI10.1016/j.amc.2015.05.058zbMath1410.33015OpenAlexW643555231MaRDI QIDQ669345
Publication date: 15 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.05.058
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Classical hypergeometric functions, ({}_2F_1) (33C05)
Related Items (5)
Markov's theorem for weight functions on the unit circle ⋮ Spectral transformation associated with a perturbed \(R_I\) type recurrence relation ⋮ On monotonicity of zeros of paraorthogonal polynomials on the unit circle ⋮ On zeros of paraorthogonal polynomials ⋮ Chain sequences and zeros of polynomials related to a perturbed \(R_{II}\) type recurrence relation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inequalities for zeros of Jacobi polynomials via Sturm's theorem: Gautschi's conjectures
- On orthogonal polynomials with perturbed recurrence relations
- Orthogonal polynomials on the unit circle and their derivatives
- Rank one perturbations and the zeros of paraorthogonal polynomials on the unit circle
- On the discrete extension of Markov's theorem on monotonicity of zeros
- On perturbed Szegő recurrences
- On co-polynomials on the real line
- Uniform asymptotic expansion for a class of polynomials biorthogonal on the unit circle
- Location of the zeros of polynomials satisfying three-term recurrence relations. I. General case with complex coefficients
- On some classes of polynomials orthogonal on arcs of the unit circle connected with symmetric orthogonal polynomials on an interval
- Chain sequences, orthogonal polynomials, and Jacobi matrices
- Quadrature formula and zeros of para-orthogonal polynomials on the unit circle
- Sharp estimates for Jacobi matrices and chain sequences. II.
- On the Hellmann-Feynman theorem and the variation of zeros of certain special functions
- Some new results for chain-sequence polynomials
- A class of hypergeometric polynomials with zeros on the unit circle: extremal and orthogonal properties and quadrature formulas
- A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula
- First and second kind paraorthogonal polynomials and their zeros
- Some remarks on large Toeplitz determinants
- Polynomials defined by a difference system
- Discrete and continuous boundary problems
- On Co-Recursive Orthogonal Polynomials
- Tridiagonal Approach to the Algebraic Environment of Toeplitz Matrices, Part I: Basic Results
- Matrix Analysis
- Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
- The Tridiagonal Approach to Szegö’s Orthogonal Polynomials, Toeplitz Linear Systems, and Related Interpolation Problems
- Tridiagonal Approach to the Algebraic Environment of Toeplitz Matrices, Part II: Zero and Eigenvalue Problems
- Asymptotic Formulas for Toeplitz Determinants
- Orthogonal Polynomials and Hypergroups II--The Symmetric Case
- Toeplitz Determinants with Singular Generating Functions
- Chain Sequences and Orthogonal Polynomials
- A Discrete Approach to Monotonicity of Zeros of Orthogonal Polynomials
- Zeros of the hypergeometric polynomials \(F(-n,b;2b;z)\)
This page was built for publication: Monotonicity of zeros for a class of polynomials including hypergeometric polynomials