Spectral properties related to generalized complementary Romanovski-Routh polynomials
DOI10.1007/s13398-023-01410-0OpenAlexW4322625460MaRDI QIDQ2687672
Publication date: 7 March 2023
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.03506
orthogonal polynomialszeroslinear combination of polynomialsbiorthogonalityhypergeometric function\(R_{II}\) type recurrenceself perturbation
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) Eigenvalues, singular values, and eigenvectors (15A18) Real polynomials: location of zeros (26C10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Darboux transformations of Jacobi matrices and Padé approximation
- The linear pencil approach to rational interpolation
- Interlacing theorems for the zeros of some orthogonal polynomials from different sequences
- When do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials?
- Some biorthogonal polynomials suggested by the Laguerre polynomials
- Biorthogonal Laurent polynomials with biorthogonal derivatives
- On kernel polynomials and self-perturbation of orthogonal polynomials
- Quasi-orthogonality with applications to some families of classical orthogonal polynomials.
- Biorthogonality and para-orthogonality of \(R_I\) polynomials
- \(R_{II}\) type recurrence, generalized eigenvalue problem and orthogonal polynomials on the unit circle
- A Riemann-Hilbert problem for biorthogonal polynomials
- Polynomials generated by a three term recurrence relation: bounds for complex zeros
- On linear combinations of \(L\)-orthogonal polynomials associated with distributions belonging to symmetric classes
- A contribution to quasi-orthogonal polynomials and associated polynomials
- Orthogonality properties of linear combinations of orthogonal polynomials
- Darboux transformation and perturbation of linear functionals
- Generalized orthogonality and continued fractions
- Biorthogonal rational functions and the generalized eigenvalue problem
- Spectra of the constant Jacobi matrices on Banach sequence spaces
- A method to construct continued-fraction approximations and its applications
- A generalized inverse eigenvalue problem and \(m\)-functions
- Chain sequences and zeros of polynomials related to a perturbed \(R_{II}\) type recurrence relation
- Interlacing of zeros of linear combinations of classical orthogonal polynomials from different sequences
- Linear combinations of \(d\)-orthogonal polynomials
- Geronimus transformations for sequences of \(d\)-orthogonal polynomials
- Quadrature rules from a \(R_{II}\) type recurrence relation and associated quadrature rules on the unit circle
- Complementary Romanovski-Routh polynomials, orthogonal polynomials on the unit circle, and extended Coulomb wave functions
- Hahn-Appell polynomials and their \(d\)-orthogonality
- Connections between Romanovski and other polynomials
- The zeros of linear combinations of orthogonal polynomials
- Some biorthogonal polynomials arising in numerical analysis and approximation theory
- On quasi-orthogonal polynomials of orderr
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- A Review on the Inverse of Symmetric Tridiagonal and Block Tridiagonal Matrices
- 2-Orthogonal polynomials and Darboux transformations. Applications to the discrete Hahn-classical case
- Complementary Romanovski-Routh polynomials: From orthogonal polynomials on the unit circle to Coulomb wave functions
- Biorthogonal rational functions of $R_{II}$-type
- On quasi-orthogonal polynomials
- Some properties of biorthogonal polynomials
This page was built for publication: Spectral properties related to generalized complementary Romanovski-Routh polynomials
