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On two systems of orthogonal polynomials related to the Pollaczek polynomials
Palabras clave:
Orthogonal polynomials, Pollaczek and ultraspherical polynomials, Continued fractions, Orthogonality measures, Jacobi operators and matrices, Spectrum of an operator, Spectral resolution of an operator (en)Descargas
The spectral properties of two systems of orthogonal polynomials related to the Pollaczek polynomials and of their corresponding Jacobi operators are examined. The continued fractions and orthogonality measures of the polynomials and the spectra and spectral resolutions of the operators are determined. End point and embedded eigenvalues are detected for appropriate values of the parameters. Explicit representations of the polynomials in terms of the Pollaczek polynomials are included.
Referencias
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