Keywords: Orthogonal polynomials; Divided-difference operator; Non-uniform lattices; Askey-Wilson operator; Semi-classical class; 33C45; 33C47; 42C05;
مقالات ISI (ترجمه نشده)
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Keywords: 26A16; 41A10; 41A17; 33C47; 40G05; Measure of smoothness; Direct and weak converse inequalities; Cesà ro summability;
Keywords: 33C47; 34M55; 65Q99; Generalized Freud weight; Semiclassical orthogonal polynomials; Recurrence coefficients; Discrete Painlevé equation; Painlevé equation;
Heavy-tailed fractional Pearson diffusions
Keywords: 33C05; 33C47; 35P10; 60G22; Fractional diffusion; Fractional backward Kolmogorov equation; Hypergeometric function; Mittag-Leffler function; Pearson diffusion; Spectral representation; Transition density; Whittaker function;
Keywords: 15B52; 33C47; 34L20Random matrix theory; Products of random matrices
Keywords: 15B52; 33C47; 34E05; 42C05; 47B35Hankel determinants; Elliptic orthogonal polynomials; Asymptotic expansions; Non-linear difference equations; Painlevé equations; Random matrix theory
Differential operator for discrete Gegenbauer-Sobolev orthogonal polynomials: Eigenvalues and asymptotics
Keywords: 33C47; 42C05; Sobolev orthogonality; Differential operators; Asymptotics;
Numerical solution of Volterra-Fredholm integral equations using the collocation method based on a special form of the Müntz-Legendre polynomials
Keywords: 33C47; 33C90; 34A12; 65N12; Volterra-Fredholm integral equations; Jacobi polynomials; Müntz-Legendre polynomials; Chebyshev-Gauss-Lobatto points; Least squares approximation method; Convergence analysis;
Asymptotics for varying discrete Sobolev orthogonal polynomials
Keywords: Sobolev orthogonal polynomials; Mehler-Heine formulae; Asymptotics; Zeros; 33C47; 42C05;
A class of symmetric q-orthogonal polynomials with four free parameters
Keywords: 34B24; 39A13; 33C47; 05E05; Extension of q-difference Sturm-Liouville problems with symmetric solutions; Symmetric q-orthogonal polynomials; Self-adjoint equation; q-eigenfunctions;
Asymptotic behavior of varying discrete Jacobi–Sobolev orthogonal polynomials
Keywords: 33C47; 42C05Sobolev orthogonal polynomials; Jacobi polynomials; Mehler–Heine formulae; Asymptotics; Zeros
On polynomials associated with an Uvarov modification of a quartic potential Freud-like weight
Keywords: Orthogonal polynomials; Freud-like weights; Logarithmic potential; String equation; Semi-classical linear functional33C45; 33C47
The Nevanlinna parametrization for qq-Lommel polynomials in the indeterminate case
Keywords: 42C05; 33C47; 33D45qq-Lommel polynomials; Nevanlinna parametrization; Measure of orthogonality; Moment sequence
Edge detection based on Krawtchouk polynomials
Keywords: 94A08; 94A11; 33C45; 33C47; 42C05; Image processing; Edge detection; Krawtchouk polynomials; Discrete orthogonal polynomials;
ΔΔ-Meixner–Sobolev orthogonal polynomials: Mehler–Heine type formula and zeros
Keywords: 33C47; 33C45; 42C05Meixner polynomials; Mehler–Heine formulae; Nonstandard orthogonality; Zeros
Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measure
Keywords: Orthogonal polynomials on the unit circle; Para-orthogonal polynomials; Chain sequences42C05; 33C47
A symmetric generalization of Sturm-Liouville problems in q-difference spaces
Keywords: 34B24; 39A13; 33C47; 05E05;
A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula
Keywords: 42C05; 33C47; SzegÅ polynomials; Kernel polynomials; Para-orthogonal polynomials; Chain sequences; Continued fractions;
Some asymptotics for Sobolev orthogonal polynomials involving Gegenbauer weights
Keywords: 33C47; 42C05Sobolev orthogonal polynomials; Asymptotics; Mehler–Heine type formulas
Algorithms for solving Hermite interpolation problems using the Fast Fourier Transform
Keywords: 33C47; 65D05; 65D15; 65T40; 65T50Hermite interpolation; Sobolev type inner products; Trigonometric interpolation; Laurent polynomials; Fast Fourier Transform
A basic class of symmetric orthogonal functions with six free parameters
Keywords: 05E05; 33C47; 34B24; Extended Sturm-Liouville theorem for symmetric functions; Symmetric orthogonal functions; Favard's theorem; Generalized ultraspherical polynomials; Generalized Hermite polynomials; Two sequences of finite classical symmetric ortho
Characterizing curves satisfying the Gauss–Christoffel theorem
Keywords: 33C47; 42C05Gaussian quadrature formulas; Orthogonal polynomials; Szegő quadrature formulas; Support of the measure
Distributional equation for Laguerre–Hahn functionals on the unit circle
Keywords: 33C47; 42C05Hermitian functionals; Measures on the unit circle; Carathéodory function; Laguerre–Hahn affine class on the unit circle; Semi-classical functionals
Nodal systems with maximal domain of exactness for Gaussian quadrature formulas
Keywords: 33C47; 42C05Orthogonal polynomials; Para-orthogonal polynomials; Gaussian quadrature; Szegő quadrature
A basic class of symmetric orthogonal functions using the extended Sturm–Liouville theorem for symmetric functions
Keywords: 05E05; 33C47; 34B24Extended Sturm–Liouville theorem for symmetric functions; Symmetric orthogonal functions; Favard's theorem; Generalized ultraspherical polynomials; Generalized Hermite polynomials; Two sequences of finite classical symmetric orthogonal
A note on the zeros of Freud–Sobolev orthogonal polynomials
Keywords: 33C47; 42C05Zeros; Orthogonal polynomials; Sobolev orthogonal polynomials
Asymptotic properties of Chebyshev-Sobolev orthogonal polynomials
Keywords: 33C47; 42C05; Orthogonal polynomials; Sobolev inner products; Measures on the real line; SzegÅ function; Carathéodory function;
Connection between orthogonal polynomials on the unit circle and bounded interval
Keywords: 33C47; 42C05; Orthogonal polynomials; Jacobi measures; SzegÅ's theory;
Orthogonal polynomials and Gaussian quadrature rules related to oscillatory weight functions
Keywords: Primary 30C10; 30C15; 33C47; 41A55; Secondary 65D30; 65D32; Orthogonal polynomials; Gaussian quadrature; Three-term recurrence relation; Oscillatory weight function; Moments; Zero distribution;
Polynomials generated by a three term recurrence relation: bounds for complex zeros
Keywords: 11B37; 15A18; 33C47; Three term recurrence relations; Eigenvalue problems; Zeros of polynomials;