Found 11,432 Documents (Results 1–100)
On the differential equations of frozen Calogero-Moser-Sutherland particle models. (English) Zbl 07923646
Energy-conserving SAV-Hermite-Galerkin spectral scheme with time adaptive method for coupled nonlinear Klein-Gordon system in multi-dimensional unbounded domains. (English) Zbl 07901834
Single radius spherical cap discrepancy on compact two-point homogeneous spaces. (English) Zbl 07930947
Book review of: J. C. García-Ardila et al., Orthogonal polynomials and linear functionals. An algebraic approach and applications. (German) Zbl 07930158
On discrete Hahn’s theorem. (English) Zbl 07927157
On the Jacobi-Dunkl coefficients of Lipschitz and Dini-Lipschitz functions on the circle. (English) Zbl 07926894
Hankel determinants of linear combinations of moments of orthogonal polynomials. (English) Zbl 07924567
Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 129-157 (2024).
A note on positive linear operators involving 2-variable Hermite-Kampé de Fériet polynomials. (English) Zbl 07923061
A Riemann-Hilbert approach to skew-orthogonal polynomials of symplectic type. (English) Zbl 07922381
Asymptotic expansion of the Lebesgue constant for even-order Hermite-Fejér interpolation on Chebyshev nodes. (English) Zbl 07920116
Brauer and Geršgorin locations of zeros of perturbed Chebyshev polynomials of the second kind by dilation. (English) Zbl 07920029
A low-rank matrix approach to compute polynomial approximations of smooth two-dimensional functions. (English) Zbl 07920025
On a general family of 2-orthogonal polynomial eigenfunctions of a third order differential equation via symbolic computation. (English) Zbl 07920023
Hermite-Padé approximation, multiple orthogonal polynomials, and multidimensional Toda equations. (English) Zbl 07919715
Kielanowski, Piotr (ed.) et al., Geometric methods in physics XL, workshop, Białowieża, Poland, June 20–25, 2023. Cham: Birkhäuser. Trends Math., 251-274 (2024).
Asymptotic distribution of the zeros of a certain family of generalized hypergeometric polynomials. (English) Zbl 07916289
Matrix orthogonal polynomials, non-abelian Toda lattices, and Bäcklund transformations. (English) Zbl 07915996
Description of the symmetric \(H_q\)-Laguerre-Hahn orthogonal \(q\)-polynomials of class one. (English) Zbl 07915706
New Karhunen-Loève expansions based on Hahn polynomials with application to a Sobolev test for uniformity on Johnson graphs. (De nouveaux développements de Karhunen-Loève basés sur les polynômes de Hahn avec application à un test d’uniformité de Sobolev sur les graphes de Johnson.) (English. French summary) Zbl 07915245
Numerical solution of fractional pantograph equations via Müntz-Legendre polynomials. (English) Zbl 07915217
Another type of forward and backward shift relations for orthogonal polynomials in the Askey scheme. (English) Zbl 07915172
Reviewer: Roberto S. Costas-Santos (Sevilla)
Spectral collocation method for numerical solution to the fully nonlinear Monge-Ampère equation. (English) Zbl 07909825
The Hankel determinant for a semiclassical Laguerre unitary ensemble, Painlevé IV and Heun equations. (English. Russian original) Zbl 07908851
Theor. Math. Phys. 219, No. 3, 913-932 (2024); translation from Teor. Mat. Fiz. 219, No. 3, 440-461 (2024).
A generalization of a result on generating functions of modified Laguerre polynomial by using the notion of partial quasibilinear generating function. (English) Zbl 07905310
MSC:
33C45
Restriction theorems and Strichartz inequalities for the Laguerre operator involving orthonormal functions. (English) Zbl 07904884
Innovative coupling of \(\mathrm{s}\)-stage one-step and spectral methods for non-smooth solutions of nonlinear problems. (English) Zbl 07901889
The Jacobi-Sobolev, Laguerre-Sobolev, and Gegenbauer-Sobolev differential equations and their interrelations. (English) Zbl 07901582
On the spectrum of tridiagonal matrices with two-periodic main diagonal. (English) Zbl 07899652
Reviewer: Pietro Paparella (Bothell)
Determinantal approach to multiple orthogonal polynomials and the corresponding integrable equations. (English) Zbl 07899519
Reviewer: Arash Ghaani Farashahi (Wien)
Bivariate \(Q\)-polynomial structures for the nonbinary Johnson scheme and the association scheme obtained from attenuated spaces. (English) Zbl 07897487
The smallest eigenvalue of the Hankel matrices associated with a perturbed Jacobi weight. (English) Zbl 07894906
Generalized complex Hermite polynomials with associated nonlinear coherent states. (English) Zbl 1543.33007
A new approach of shifted Jacobi spectral Galerkin methods (SJSGM) for weakly singular Fredholm integral equation with non-smooth solution. (English) Zbl 07891509
Localization of the window functions of dual and tight Gabor frames generated by the Gaussian function. (English. Russian original) Zbl 07891402
Sb. Math. 215, No. 3, 364-382 (2024); translation from Mat. Sb. 215, No. 3, 80-99 (2024).
Reviewer: Paşc Găvruţă (Timişoara)
Berezin density and planar orthogonal polynomials. (English) Zbl 07891370
Reviewer: María-José Cantero (Zaragoza)
A Matlab package computing simultaneous Gaussian quadrature rules for multiple orthogonal polynomials. (English) Zbl 07890939
‘Diophantine’ and factorization properties of finite orthogonal polynomials in the Askey scheme. (English) Zbl 07890814
On the orthogonality of Atkin-like polynomials and orthogonal polynomial expansion of generalized Faber polynomials. (English) Zbl 07887404
Lie algebras of differential operators for matrix valued Laguerre type polynomials. (English) Zbl 07887401
A generalization of formulas for the discriminants of quasi-orthogonal polynomials with applications to hypergeometric polynomials. (English) Zbl 07887397
An efficient two-point iterative method with memory for solving non-linear equations and its dynamics. (English) Zbl 1543.65069
Approximation by operators involving \(\Delta_h\)-Gould-Hopper Appell polynomials. (English) Zbl 07886313
Reviewer: Zoltán Finta (Cluj-Napoca)
A highly efficient and accurate divergence-free spectral method for the curl-curl equation in two and three dimensions. (English) Zbl 07881665
Simultaneous approximation of Hilbert and Hadamard transforms on bounded intervals. (English) Zbl 07881201
Reviewer: Steven B. Damelin (Ann Arbor)
Meixner multiple orthogonal polynomials on interlacing lattices. (English. Russian original) Zbl 07878686
Math. Notes 115, No. 4, 642-646 (2024); translation from Mat. Zametki 115, No. 4, 634-638 (2024).
Reviewer: Bujar Fejzullahu (Preševo)
Basis property of the Legendre polynomials in variable exponent Lebesgue spaces. (English. Russian original) Zbl 1543.42037
Sb. Math. 215, No. 2, 234-249 (2024); translation from Mat. Sb. 215, No. 2, 103-119 (2024).
Orthogonal polynomials with periodically modulated recurrence coefficients in the Jordan block case. (Polynômes orthogonaux avec coefficients de récurrence périodiquement modulés dans le cas bloc de Jordan.) (English. French summary) Zbl 07877219
Reviewer: Lotfi Khériji (Tunis)
Multiple skew-orthogonal polynomials and 2-component Pfaff lattice hierarchy. (English) Zbl 07875074
Quadrature methods for singular integral equations of Mellin type based on the zeros of classical Jacobi polynomials. II. (English) Zbl 1543.65214
Polymeromorphic Itô-Hermite functions associated with a singular potential vector on the punctured complex plane. (English) Zbl 1543.42032
Applications of multiple orthogonal polynomials with hypergeometric moment generating functions. (English) Zbl 07873208
Reviewer: Francisco Marcellán (Leganes)
Hypergeometric expressions for type I Jacobi-Piñeiro orthogonal polynomials with arbitrary number of weights. (English) Zbl 1542.33009
Joint moments of derivatives of characteristic polynomials of random symplectic and orthogonal matrices. (English) Zbl 07871234
Reviewer: M. P. Chaudhary (New Delhi)
New results on the associated Meixner, Charlier, and Krawtchouk polynomials. (English) Zbl 1542.42030
Reviewer: Pierluigi Vellucci (Roma)
Hermite, higher order Hermite, Laguerre type polynomials and Burgers like equations. (English) Zbl 1542.33011
Determining the first radii of meromorphy via orthogonal polynomials on the unit circle. (English) Zbl 1540.41030
Formulas for \(p\)-adic \(q\)-integrals including falling-rising factorials, combinatorial sums and special numbers. (English) Zbl 1543.11106
Positivity and positivity-definiteness for Cauchy powers of linear functionals on the linear space of polynomials. (English) Zbl 07861936
Reviewer: Elhadj Dahia (Bou Saâda)
On a class of integrals of beta family: series representations and fractional maps. (English) Zbl 1541.33004
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