The differential equation for Jacobi–Sobolev orthogonal polynomials with two linear perturbutions

• Dynamic behavior and vibration suppression of functionally graded coated composite truncated conical shells

  2025 Thin-Walled Structures article Engineering Composite Structure Analysis and Optimization

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• Multi-objective optimization for vibration suppression and weight reduction in composite sandwich shallow-spherical shells with functionally graded coating

  2025 Mechanical Systems and Signal Processing article Engineering Composite Structure Analysis and Optimization Open access

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• Recovering orthogonality from quasi‐type kernel polynomials using specific spectral transformations

  2024 Mathematical Methods in the Applied Sciences article Mathematics Mathematical functions and polynomials

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• The Jacobi-Sobolev, Laguerre-Sobolev, and Gegenbauer-Sobolev differential equations and their interrelations

  2024 Integral Transforms and Special Functions article Mathematics Mathematical functions and polynomials Open access

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• On some hypergeometric Sobolev orthogonal polynomials with several continuous parameters

  2023 V N Karazin Kharkiv National University Ser Mathematics Applied Mathematics and Mechanics article Mathematics Mathematical functions and polynomials Open access

  0

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• Bispectrality for matrix Laguerre-Sobolev polynomials

  2023 Linear Algebra and its Applications article Mathematics Mathematical functions and polynomials Open access

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• On convergence of Fourier series in discrete Jacobi–Sobolev spaces

  2023 Integral Transforms and Special Functions article Mathematics Spectral Theory in Mathematical Physics

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7 results

• Higher transcendental functions. Vol. II

  1953 article Mathematics Mathematical functions and polynomials

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• On Sobolev orthogonal polynomials

  2014 Expositiones Mathematicae article Mathematics Mathematical functions and polynomials Open access

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• Orthogonal polynomials on Sobolev spaces: old and new directions

  1993 Journal of Computational and Applied Mathematics article Mathematics Mathematical functions and polynomials Open access

  110

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• Some functions that generalize the Krall-Laguerre polynomials

  1999 Journal of Computational and Applied Mathematics article Mathematics Mathematical functions and polynomials Open access

  91

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• Differential equations for generalized Jacobi polynomials

  2000 Journal of Computational and Applied Mathematics article Mathematics Mathematical functions and polynomials Open access

  82

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• Orthogonal polynomial solutions of linear ordinary differential equations

  2001 Journal of Computational and Applied Mathematics article Mathematics Mathematical functions and polynomials Open access

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• Well-Poised Series and Other Generalized Hypergeometrtc Series

  1926 Proceedings of the London Mathematical Society article Mathematics Mathematical functions and polynomials

  49

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• Analytic aspects of Sobolev orthogonal polynomials revisited

  2001 Journal of Computational and Applied Mathematics article Mathematics Mathematical functions and polynomials Open access

  42

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• Differential equations for discrete Laguerre-Sobolev orthogonal polynomials

  2014 Deposito de Investigacion Universidad de Sevilla (University of Seville) article Mathematics Mathematical functions and polynomials Open access

  28

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• Differential equations for discrete Jacobi–Sobolev orthogonal polynomials

  2018 Journal of Spectral Theory article Mathematics Mathematical functions and polynomials

  25

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• Jacobi-Sobolev-type orthogonal polynomials: Second-order differential equation and zeros

  1998 Journal of Computational and Applied Mathematics article Mathematics Mathematical functions and polynomials Open access

  22

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• Differential operators having Sobolev-type Jacobi polynomials as eigenfunctions

  2003 Journal of Computational and Applied Mathematics article Mathematics Mathematical functions and polynomials Open access

  22

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• Differential and difference operators having orthogonal polynomials with two linear perturbations as eigenfunctions

  1998 Journal of Computational and Applied Mathematics article Mathematics Mathematical functions and polynomials Open access

  21

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• Orthogonal Polynomial Solutions of Spectral Type Differential Equations: Magnus' Conjecture

  2001 Journal of Approximation Theory article Mathematics Mathematical functions and polynomials Open access

  19

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• Differential operators having Sobolev-type Gegenbauer polynomials as eigenfunctions

  2000 Journal of Computational and Applied Mathematics article Mathematics Mathematical functions and polynomials Open access

  16

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• Construction of differential operators having Bochner–Krall orthogonal polynomials as eigenfunctions

  2006 Journal of Mathematical Analysis and Applications article Mathematics Mathematical functions and polynomials Open access

  10

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• The higher-order differential operator for the generalized Jacobi polynomials — new representation and symmetry

  2018 Indagationes Mathematicae article Mathematics Mathematical functions and polynomials Open access

  8

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• An elementary representation of the higher-order Jacobi-type differential equation

  2017 Indagationes Mathematicae article Mathematics Mathematical functions and polynomials Open access

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• On the differential equation for the Laguerre–Sobolev polynomials

  2019 Journal of Approximation Theory article Mathematics Mathematical functions and polynomials Open access

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• Eigenvalue Problem for Discrete Jacobi–Sobolev Orthogonal Polynomials

  2020 Mathematics article Mathematics Mathematical functions and polynomials Open access

  6

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