Spectral transformation associated with a perturbed \(R_I\) type recurrence relation
DOI10.1007/s40840-023-01561-8zbMath1530.42049MaRDI QIDQ6174625
Anbhu Swaminathan, Vinay Shukla
Publication date: 17 August 2023
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
orthogonal polynomialscontinued fractionsinterlacing of zerosspectral transformation\(R_I\) type recurrence relationCarathéodary function
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) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Continued fractions (11A55) Continued fractions; complex-analytic aspects (30B70)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas
- Orthogonal polynomials on the unit circle and chain sequences
- Optimally space localized polynomials with applications in signal processing
- Monotonicity of zeros for a class of polynomials including hypergeometric polynomials
- PC-fractions and Szegö polynomials associated with starlike univalent functions
- Orthogonal polynomials associated with complementary chain sequences
- On orthogonal polynomials with perturbed recurrence relations
- On perturbed Szegő recurrences
- On co-polynomials on the real line
- Perturbed recurrence relations. III: The general case-some new applications
- On co-recursive orthogonal polynomials and their application to potential scattering
- Finite perturbations of orthogonal polynomials
- Fourth-order differential equation for the co-modified of semi-classical orthogonal polynomials
- Rational spectral transformations and orthogonal polynomials
- Monotonicity of zeroes of orthogonal Laurent polynomials
- Perturbed recurrence relations
- \(R_{II}\) type recurrence, generalized eigenvalue problem and orthogonal polynomials on the unit circle
- On perturbed orthogonal polynomials on the real line and the unit circle via Szegő's transformation
- Generalized orthogonality and continued fractions
- A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula
- Chain sequences and zeros of polynomials related to a perturbed \(R_{II}\) type recurrence relation
- Markov's theorem for weight functions on the unit circle
- Quasi-orthogonality and zeros of some \({}_2 \phi_2\) and \({}_3 \phi_2\) polynomials
- Zeros of quasi-orthogonal \(q\)-Laguerre polynomials
- Accelerated Landweber methods based on co-dilated orthogonal polynomials
- On monotonicity of zeros of paraorthogonal polynomials on the unit circle
- Perturbed recurrence relations. II: The general case
- Szegő polynomials from hypergeometric functions
- On Co-Recursive Orthogonal Polynomials
- Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
- Direct and inverse spectral transform for the relativistic Toda lattice and the connection with Laurent orthogonal polynomials
- Refined interlacing properties for zeros of paraorthogonal polynomials on the unit circle
- On Co-polynomials on the Real Line and the Unit Circle
- On Fourth-order Difference Equations for Orthogonal Polynomials of a Discrete Variable: Derivation, Factorization and Solutions
- New intregral transform with generalized Bessel–Maitland function kernel and its applications
- Optimality of singular vector perturbation under maximum norm
- Certain fractional calculus and integral transform results of incomplete ℵ‐functions with applications
- An optimal perturbation bound
- On associated and co-recursive d-orthogonal polynomials
- Fourth-order difference equation satisfied by the co-recursive of \(q\)-classical orthogonal polynomials
- Combinatorics of orthogonal polynomials of type \(R_I\)
This page was built for publication: Spectral transformation associated with a perturbed \(R_I\) type recurrence relation
