DEK-type orthogonal polynomials and a modification of the Christoffel formula
DOI10.1016/j.cam.2023.115561arXiv2110.03038OpenAlexW4386565717MaRDI QIDQ6056236
Maxim Derevyagin, Rachel Bailey
Publication date: 30 October 2023
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.03038
hypergeometric functionKummer's second theoremKampé de Fériet functionHorn's functionAppell's seriescontiguous results
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) Other special orthogonal polynomials and functions (33C47) Appell, Horn and Lauricella functions (33C65) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)
Cites Work
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- A note on the Geronimus transformation and Sobolev orthogonal polynomials
- Zeros of exceptional Hermite polynomials
- Darboux transformations of Jacobi matrices and Padé approximation
- Generating difference equations with the Darboux transformations
- Bi-orthogonality in rational approximation
- Differential-difference evolution equations. II: Darboux transformation for the Toda lattice
- Some functions that generalize the Krall-Laguerre polynomials
- Spectral problems for generalized Jacobi matrices
- Darboux transformation and perturbation of linear functionals
- A modification of Crum's method
- Darboux transformation, factorization, and supersymmetry in one-dimensional quantum mechanics
- Asymptotic and interlacing properties of zeros of exceptional Jacobi and Laguerre polynomials
- Darboux transformation and exactly solvable potentials with quasi-equidistant spectrum
- Darboux transformation and nonclassical orthogonal polynomials
- Exceptional Meixner and Laguerre orthogonal polynomials
- Spectral theory of exceptional Hermite polynomials
- The adelic Grassmannian and exceptional Hermite polynomials
- A Bochner type characterization theorem for exceptional orthogonal polynomials
- Multiple Geronimus transformations
- Some biorthogonal polynomials arising in numerical analysis and approximation theory
- Exceptional Orthogonal Polynomials and Rational Solutions to Painlevé Equations
- On the convergence of Padé approximations for generalized Nevanlinna functions
- Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux–Crum transformations
- Two-Step Methods and Bi-Orthogonality
- On the Theory of Biorthogonal Polynomials
- Equidistant spectra of anharmonic oscillators
- Exceptional Orthogonal Polynomials via Krall Discrete Polynomials
- Spectral analysis for the exceptional $X_m$-Jacobi equation
- A note on orthogonal polynomials
- Recurrence relations for exceptional Hermite polynomials
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