Spectral analysis for the exceptional Xm-Jacobi equation
Electronic Journal of Differential Equations, 2015 We provide the mathematical foundation for the $X_m$-Jacobi spectral theory. Namely, we present a self-adjoint operator associated to the differential expression with the exceptional $X_m$-Jacobi orthogonal polynomials as eigenfunctions.
Constanze Liaw +2 more
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Local Asymptotic Distribution of Zeros of Orthogonal Polynomials [PDF]
, 1994 Вилмос Тотик, J. L. Ullman
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Quasi-Hermitian Hamiltonians associated with exceptional orthogonal polynomials [PDF]
, 2012 Bikashkali Midya
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Discrete Transforms and Orthogonal Polynomials of (Anti)symmetric Multivariate Sine Functions. [PDF]
Entropy (Basel), 2018 Brus A, Hrivnák J, Motlochová L.
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Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We study a family of the Laurent biorthogonal polynomials arising from the Hermite continued fraction for a ratio of two complete elliptic integrals. Recurrence coefficients, explicit expression and the weight function for these polynomials are obtained.
Luc Vinet, Alexei Zhedanov
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Boundary characteristic orthogonal polynomials method in the vibration analysis of multi-span plates acting upon a moving mass. [PDF]
Heliyon, 2019 Kashani Rad H +2 more
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On orthogonal polynomials [PDF]
Proceedings of the American Mathematical Society, 1961 openaire +2 more sources
Numerical analysis, spectral graph theory, orthogonal polynomials and quantum algorithms. [PDF]
Philos Trans A Math Phys Eng SciMinenkova A, Mograby G, Zhan H.
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Recurrence relations for orthogonal polynomials for PDEs in polar and cylindrical geometries. [PDF]
Springerplus, 2016 Richardson M, Lambers JV.
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Constrained numerical deconvolution using orthogonal polynomials. [PDF]
HeliyonMaestre JM, Chanfreut P, Aarons L.
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