Keywords: 42A16; 42C05; 42C10; 47B36; 65D32; 65Q30; 81Q05; Numerical analysis; Integration formulas; Logarithmic singularities; Solid-state physics; 2-dimensional lattices; Graphene;
مقالات ISI (ترجمه نشده)
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Keywords: Vilenkin system; expansions; Fourier coefficients; 42C10; 42C20;
Keywords: primary; 42C10; 65L70; secondary; 41A60; 65L15; Prolate spheroidal wave functions; Eigenvalues and eigenfunctions estimates; Spectral approximation; Sobolev spaces;
Keywords: 42C10; 42B25; Hermite expansions; Hardy space; Riesz transform; Sobolev space;
Keywords: primary; 42C10; 65L70; secondary; 41A60; 65L15; Prolate spheroidal wave functions; Eigenvalues and eigenfunctions approximations; Asymptotic estimates;
Keywords: 60G60; 62J10; 86A32; 42A16; 42A82; 42C10; 43A35; 33C50; 33C55; Homogeneous space; Isotropy; Multivariate covariance function; Positive definite kernel; Random field; Strictly positive definite;
Keywords: Dual Petrov–Galerkin method; Chebyshev polynomials of third and fourth kinds; Integrated forms; High odd-order two points boundary value problems65M70; 65N35; 35C10; 42C10
Keywords: 42C10; 35F30; 65L10; 65L60; 35K20Fourier series in special orthogonal functions; Boundary value problems for ordinary differential equation; Initial-boundary value problems for second-order parabolic equations; Boundary value problems for non-linear first
Keywords: Ultraspherical polynomials; Wavelets; Bernstein-type inequality; Collocation method; Even-order differential equations; Burger’s equation65M70; 65N35; 35C10; 42C10
Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions
Keywords: primary; 11B68; secondary; 42C10; 33C10; 11M41; Appell-Dunkl sequences; Bernoulli-Dunkl polynomials; Apostol-Euler-Dunkl polynomials; Dunkl kernel; Fourier-Dunkl series; Zeros of Bessel functions; Rayleigh functions;
Potential operators and laplace type multipliers associated with the twisted laplacian
Keywords: twisted Laplacian; special Hermite expansion; negative power; potential operator; fractional integral; potential kernel; spectral multiplier; singular oscillatory integral; 42C10; 47G40; 31C15; 26A33;
Maximal operators of exotic and non-exotic Laguerre and other semigroups associated with classical orthogonal expansions
Keywords: primary; 42C10; secondary; 42C05; 42C99; Laguerre expansions; Jacobi expansions; Continuous Fourier-Bessel expansions; Hankel transform; Maximal operator; Weak type estimate;
On the universal function for the class Lp[0,1], p â (0,1)
Keywords: 42C10; 43A15; Universal function; Fourier coefficients; Walsh system; Convergence in metric;
An alternative to Slepian functions on the unit sphere - A space-frequency analysis based on localized spherical polynomials
Keywords: 42B05; 42C10; 45C05; 47B36; Space-frequency analysis on the unit sphere; Slepian functions; Spherical harmonics; Ultraspherical polynomials; Jacobi matrices;
Stein-Malliavin approximations for nonlinear functionals of random eigenfunctions on Sd
Keywords: 60G60; 42C10; 60D05; 60B10; Gaussian eigenfunctions; High energy asymptotics; Stein-Malliavin approximations; Excursion volume;
Riesz transforms and spectral multipliers of the Hodge–Laguerre operator
Keywords: 33C50; 42C10; 42B15; 42A50; 58A14Hodge decomposition; Laguerre polynomials; Riesz transforms; Spectral multipliers
Irregular sampling of band-limited functions on the sphere
Keywords: 65T99; 42C10; 33C55; 65D15Spherical harmonics; Irregular sampling; Band-limited functions on the sphere; Needlets; Fast computation
(M,N)-coherent pairs of order (m,k) and Sobolev orthogonal polynomials
Keywords: 33C45; 41A10; 42C05; 42C10; 65Q30; 65T99; Moment linear functionals; Orthogonal polynomials; Coherent pairs; Sobolev orthogonal polynomials; Approximation by polynomials; Algorithms;
Adaptive nonparametric regression on spin fiber bundles
Keywords: 62G08; 62G20; 42B35; 42C10; 42C40; 46E35Spin fiber bundles; Mixed spin needlets; Adaptive nonparametric regression; Thresholding; Spin Besov spaces
On Taylor series and Kapteyn series of the first and second type
Keywords: 42C10; 30B10; 33C10Kapteyn series; Taylor series; Bessel functions
Numerical experiments on the accuracy of the Chebyshev–Frobenius companion matrix method for finding the zeros of a truncated series of Chebyshev polynomials
Keywords: 65H05; 42C10; 65D05Kepler's equation; Chebyshev polynomials; Rootfinding; Chebyshev-Frobenius companion matrix
Multivariate Frobenius–Padé approximants: Properties and algorithms
Keywords: 15A99; 33C45; 41A20; 41A21; 41A63; 42C05; 42C10; 65F05; 65F30Multivariate Padé approximants; Tchebyshev series; Orthogonal polynomials; Orthogonal expansions; Rational approximation; Displacement rank structure
An adaptive version of a fourth-order iterative method for quadratic equations
Keywords: 65J15; 65T99; 42C10; 47H17Nonlinear quadratic equations; Fourth order; Semilocal convergence; Multiresolution; Compression
On the coefficients of integrated expansions of Bessel polynomials
Keywords: 42C10; 33A50; 65L50; 65L10Bessel polynomials; Spectral methods; Expansion coefficients
Radial basis functions and corresponding zonal series expansions on the sphere
Keywords: 42C10; 42A82; 33C10; 33C45; Radial basis functions; Zonal basis functions; Positive definite functions; Conditionally positive definite functions; Bessel functions; Gegenbauer polynomials; Kriging;
Heat-diffusion maximal operators for Laguerre semigroups with negative parameters
Keywords: 42A45; 42B15; 42B20; 42B25; 42C10; Heat and Poisson semigroups; Laguerre functions;
Generation and evaluation of orthogonal polynomials in discrete Sobolev spaces I: algorithms
Keywords: 42C05; 65D20; 42C10; Sobolev orthogonal polynomials; Recurrence relations;
Kernels and best approximations related to the system of ultraspherical polynomials
Keywords: 41A10; 41A17; 41A25; 42C10; 33C45; Orthogonal polynomials; Best approximations; Nikol'skiÄ±Ë inequalities;
Accurate spectral solutions for the parabolic and elliptic partial differential equations by the ultraspherical tau method
Keywords: 65M70; 65N35; 35C10; 42C10; Parabolic and elliptic partial differential equations; Spectral methods; Orthogonal polynomials; Expansion coefficients;
On boundary correction in kernel density estimation
Keywords: primary; 62G05; secondary; 42C10; Density estimation; Mean squared error; Kernel estimation; Reflection;
Higher order Riesz transforms, fractional derivatives, and Sobolev spaces for Laguerre expansions
Keywords: primary; 42C10; secondary; 46E35; Laguerre expansions; Higher order Riesz-Laguerre transforms; Sobolev spaces; Meyer's multiplier theorem; Fractional derivative;
Monomial orthogonal polynomials of several variables
Keywords: 33C50; 42C10; h-harmonics; Orthogonal polynomials of several variables; Best L2 approximation; Symmetric orthogonal polynomials;
Generalizations of orthogonal polynomials
Keywords: 42C10; 33D45; 41A; 30E05; 65D30; 46E35; Orthogonal polynomials; Rational approximation; Linear algebra;