Keywords: چند جملهای کلاسیک متعامد; Semi-classical; Linear functionals; Nonuniform lattice; Classical orthogonal polynomials; Semi-classical orthogonal polynomials
مقالات ISI چند جملهای کلاسیک متعامد (ترجمه نشده)
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ORTHOPOLY: A library for accurate evaluation of series of classical orthogonal polynomials and their derivatives
Keywords: چند جملهای کلاسیک متعامد; Classical orthogonal polynomials; Evaluation algorithms; Derivative evaluation; Accurate algorithms; Error-free transformation techniques;
Second-order differential equations in the Laguerre–Hahn class
Keywords: چند جملهای کلاسیک متعامد; Orthogonal polynomials on the real line; Riccati differential equation; Semi-classical functionals; Classical orthogonal polynomials
(M,N)-Coherent pairs of linear functionals and Jacobi matrices
Keywords: چند جملهای کلاسیک متعامد; Coherent pairs; Structure relations; Regular linear functionals; Orthogonal polynomials; Classical orthogonal polynomials; Sobolev orthogonal polynomials; Monic Jacobi matrix
Interlacing of zeros of orthogonal polynomials under modification of the measure
Keywords: چند جملهای کلاسیک متعامد; Orthogonal polynomials; Classical orthogonal polynomials; q-orthogonal polynomials; Zeros; Interlacing; Monotonicity;
Using DD-operators to construct orthogonal polynomials satisfying higher order difference or differential equations
Keywords: چند جملهای کلاسیک متعامد; Differential and difference operators; Classical orthogonal polynomials; Classical discrete orthogonal polynomials; Charlier polynomials; Meixner polynomials; Krawtchouk polynomials; Hahn polynomials; Laguerre polynomials; Jacobi polynomials; Krall polyno
Complete solution of the electrostatic equilibrium problem for classical weights
Keywords: چند جملهای کلاسیک متعامد; Electrostatic equilibrium problem; Pearson differential equation; Sturm-Liouville differential equation; Classical orthogonal polynomials; Weighted discriminants;
Image representation using separable two-dimensional continuous and discrete orthogonal moments
Keywords: چند جملهای کلاسیک متعامد; Bivariate; Separable; Classical orthogonal polynomials; Discrete orthogonal moments; Continuous orthogonal moments; Local extraction; Tensor product
Orthogonal polynomials in two variables as solutions of higher order partial differential equations
Keywords: چند جملهای کلاسیک متعامد; Orthogonal polynomials in two variables; Classical orthogonal polynomials; Partial differential equations
New steps on Sobolev orthogonality in two variables
Keywords: چند جملهای کلاسیک متعامد; 42C05; 33C50Orthogonal polynomials in two variables; Sobolev orthogonal polynomials; Classical orthogonal polynomials
Sharp bounds for the extreme zeros of classical orthogonal polynomials
Keywords: چند جملهای کلاسیک متعامد; Extreme zeros; Classical orthogonal polynomials; Sharp bounds
Pseudospectral methods for solving an equation of hypergeometric type with a perturbation
Keywords: چند جملهای کلاسیک متعامد; 33C45; 34L40; 65L60; 65L15; 81Q05Schrödinger operator; Regular and singular Sturm–Liouville eigenvalue problems; Pseudospectral methods; Equation of hypergeometric type; Classical orthogonal polynomials
A matrix Rodrigues formula for classical orthogonal polynomials in two variables
Keywords: چند جملهای کلاسیک متعامد; Orthogonal polynomials in two variables; Classical orthogonal polynomials; Kronecker power of a matrix; Rodrigues formula
Parameter-based Fisher's information of orthogonal polynomials
Keywords: چند جملهای کلاسیک متعامد; 33C45; 42C04; 94A17; 62B10; 05E35; 94A15Fisher information; Classical orthogonal polynomials; Gegenbauer polynomials; Grosjean polynomials; Jacobi polynomials; Laguerre polynomials
Second order partial differential equations for gradients of orthogonal polynomials in two variables
Keywords: چند جملهای کلاسیک متعامد; Orthogonal polynomials in two variables; Classical orthogonal polynomials; Matrix Pearson equation
Generic formulas for the values at the singular points of some special monic classical Hq,Ï-orthogonal polynomials
Keywords: چند جملهای کلاسیک متعامد; 42C05; 33C45; 33E30; Classical orthogonal polynomials; q-Orthogonal polynomials; DÏ-Orthogonal polynomials; Differential and difference equations of hypergeometric type; Structure relations; q-Hahn tableau;
The structure relation for Askey–Wilson polynomials
Keywords: چند جملهای کلاسیک متعامد; 33D45; 33C45Structure relation; Askey–Wilson polynomials; Classical orthogonal polynomials; Askey scheme; Lowering and raising relations
General recurrence and ladder relations of hypergeometric-type functions
Keywords: چند جملهای کلاسیک متعامد; 34A25; 33C05; 33C45Second-order differential equations; Special functions; Hypergeometric-type functions; Classical orthogonal polynomials; Recurrence formulas; Ladder operators; Sum rules
New families of orthogonal polynomials
Keywords: چند جملهای کلاسیک متعامد; Classical orthogonal polynomials; Recurrence relation; Second order differential equation; Structure relation
Cramer–Rao information plane of orthogonal hypergeometric polynomials
Keywords: چند جملهای کلاسیک متعامد; 33C45; 42C05; 94A17; 62B10Information theory; Special functions; Classical orthogonal polynomials; Fisher information; Variance; Cramer–Rao information plane; Cramer–Rao inequalities
Information measures of hydrogenic systems, Laguerre polynomials and spherical harmonics
Keywords: چند جملهای کلاسیک متعامد; Special functions; Classical orthogonal polynomials; Information theory; Fisher information; Shannon entropy; Hydrogenic systems;
Weak classical orthogonal polynomials in two variables
Keywords: چند جملهای کلاسیک متعامد; 33C50; Orthogonal polynomials in two variables; Classical orthogonal polynomials;
Fisher information of orthogonal hypergeometric polynomials
Keywords: چند جملهای کلاسیک متعامد; Classical orthogonal polynomials; Fisher information; Second-order differential equations; Probability measures;