The one-quarter class of orthogonal polynomials
From MaRDI portal
Publication:1178578
DOI10.1216/rmjm/1181072999zbMath0735.42013OpenAlexW2072006220MaRDI QIDQ1178578
Publication date: 26 June 1992
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/rmjm/1181072999
recurrence relationmoment problemschain sequencesspectral intervalspectrum of orthogonal polynomials
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
Otto Blumenthal (1876--1944) in retrospect, Measures for orthogonal polynomials with unbounded recurrence coefficients, Spectral properties of unbounded Jacobi matrices with almost monotonic weights, Ted Chihara and his work on orthogonal polynomials, 45 years of orthogonal polynomials: A view from the wings, Report from the open problems session at OPSFA13, On the support of the measure of orthogonality of a class of orthogonal polynomials., The supports of measures associated with orthogonal polynomials and the spectra of the related self-adjoint operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic properties of orthogonal polynomials from their recurrence formula. I
- On orthogonal polynomials with positive zeros and the associated kernel polynomials
- The ratio of q-like orthogonal polynomials
- Representations and bounds for zeros of orthogonal polynomials and eigenvalues of sign-symmetric tri-diagonal matrices
- Asymptotic properties of orthogonal polynomials from their recurrence formula. II
- Indeterminate symmetric moment problems
- A sequence of best parabola theorems for continued fractions
- Orthogonal polynomials and measures with finitely many point masses
- Orthogonal polynomials with discrete spectra of the real line
- Characterization of certain classes of orthogonal polynomials related to elliptic functions
- On indeterminate Hamburger moment problems
- A note on recursively defined orthogonal polynomials
- Orthogonal polynomials whose zeros are dense in intervals
- Convergent sequences of orthogonal polynomials
- The derived set of the spectrum of a distribution function
- The limit-circle case for a positive definite J-fraction
- On the Spectra of Certain Birth and Death Processes
- Recurrence relations, continued fractions, and orthogonal polynomials
- Necessary and Sufficient Conditions Relating the Coefficients in the Recurrence Formula to the Spectral Function for Orthogonal Polynomials
- Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
- Orthogonal Polynomials, Measures and Recurrence Relations
- Asymptotics for the Zeros of Orthogonal Polynomials associated with Infinite Intervals
- Spectral Measures, Orthogonal Polynomials, and Absolute Continuity
- On Asymptotic Average Properties of Zeros of Orthogonal Polynomials
- Scattering Theory and Polynomials Orthogonal on the Real Line
- Orthogonal Polynomials Whose Distribution Functions Have Finite Point Spectra
- Some Hypergeometric Orthogonal Polynomials
- Spectral Properties of Orthogonal Polynomials on Unbounded Sets
- A Set of Hypergeometric Orthogonal Polynomials
- Convolutions of Orthonormal Polynomials
- Orthogonal polynomials
- Orthogonal Polynomials Defined by a Recurrence Relation
- Hamburger Moment Problems and Orthogonal Polynomials
- On the Numerators of the Convergents of the Stieltjes Continued Fractions
- Some Orthogonal q‐Polynomials
- Chain Sequences and Orthogonal Polynomials
- On Constructing Distribution Functions; with Applications to Lommel Polynomials and Bessel Functions
- Cyclic Operators, Commutators, and Absolutely Continuous Measures
- On orthogonal polynomials