Recovering orthogonality from quasi-nature of spectral transformations
DOI10.1007/s40840-024-01805-1MaRDI QIDQ6661088
Vikash Kumar, Anbhu Swaminathan, F. Marcellán
Publication date: 10 January 2025
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Stieltjes transformtransfer matrixrecurrence relationscontinued fractionquasi-orthogonal polynomialslinear spectral transformationsorthogonal polynomials and linear functionals
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) Continued fractions (11A55) Real polynomials: location of zeros (26C10)
Cites Work
- Unnamed Item
- Orthogonal polynomials associated with an inverse quadratic spectral transform
- Sur la suite de polynômes orthogonaux associée à la forme \(u=\delta_ c+\lambda (x-c)^{-1}L\). (On the sequence of orthogonal polynomials associated with the form \(u=\delta_ c+\lambda (x-c)^{- 1}L)\)
- Orthogonal polynomials and linear functionals. An algebraic approach and applications
- When do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials?
- Rational spectral transformations and orthogonal polynomials
- On linearly related orthogonal polynomials and their functionals
- Sur le problème des moments. III.
- A contribution to quasi-orthogonal polynomials and associated polynomials
- Orthogonal polynomials and coherent pairs: The classical case
- Orthogonal polynomials generated by a linear structure relation: inverse problem
- On mechanical quadratures, in particular, with positive Coefficients.
- Mechanische Quadraturen mit positiven Cotesschen Zahlen.
- On quasi-orthogonal polynomials: their differential equations, discriminants and electrostatics
- Spectral properties related to generalized complementary Romanovski-Routh polynomials
- Complex Jacobi matrices generated by Darboux transformations
- On quasi-orthogonal polynomials of orderr
- Orthogonality of quasi-orthogonal polynomials
- On Quasi-Orthogonal Polynomials
- The connection between systems of polynomials orthogonal with respect to different distribution functions
- On quasi-orthogonal polynomials
- On quasi-orthogonal polynomials
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