Results 51 to 60 of about 351,291 (192)
Parameter Derivatives of the Jacobi Polynomials with Three Variables on the Simplex
MATEC Web of Conferences, 2016 In this paper, an attempt has been made to derive parameter derivatives of Jacobi polynomials with three variables on the simplex. They are obtained via parameter derivatives of the classical Jacobi polynomials Pn(α,β)(x) with respect to their parameters.
Aktaş Rabia
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On Spectral Vectorial Differential Equation of Generalized Hermite Polynomials
Axioms, 2022 In this paper, we first give some results on monic generalized Hermite polynomials (GHP) {Hn(μ)(x)}n≥0, orthogonal with respect to the positive weight |x|2μe−x2,μ>−12,x∈R, which will lead to the formulation of the second-order spectralvectorial ...
Mohamed Jalel Atia, Majed Benabdallah
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On the $D_ω$-classical orthogonal polynomials [PDF]
arXiv, 2023 We wish to investigate the $D_{\omega}$-classical orthogonal polynomials, where $D_{\omega}$ is a special case of the Hahn operator. For this purpose, we consider the problem of finding all sequences of orthogonal polynomials such that their $D_{\omega}$-derivatives are also orthogonal polynomials. To solve this problem we adopt a different approach to
arxiv
Duality for classical orthogonal polynomials
Journal of Computational and Applied Mathematics, 2005 AbstractSome aspects of duality for the classical orthogonal polynomials are explained. Duality deals with the similarity of these functions as functions of the orthogonality variable and of the degree of the polynomials.
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مجلة العلوم البحتة والتطبيقية, 2020 The connection between different classes of special functions is a very important aspect in establishing new properties of the related classical functions that is they can inherit the properties of each other. Here we show how the Hermite polynomials are
Haniyah Saed Ben Hamdin
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Some New Connection Relations Related to Classical Orthogonal Polynomials
Journal of Mathematics, 2020 In this paper, we deal with a problem of positivity of linear functionals in the linear space ℙ of polynomials in one variable with complex coefficients.
Wathek Chammam, Wasim Ul-Haq
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AIMS Mathematics, 2023 In this study, we develop various features in special polynomials using the principle of monomiality, operational formalism, and other qualities. By utilizing the monomiality principle, new outcomes can be achieved while staying consistent with past ...
Mohra Zayed, Shahid Wani
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Block orthogonal polynomials: I. Definition and properties
, 2007 Constrained orthogonal polynomials have been recently introduced in the study of the Hohenberg-Kohn functional to provide basis functions satisfying particle number conservation for an expansion of the particle density.
Abramowitz M +17 more
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Orthogonal Polynomials of Askey-Wilson Type [PDF]
arXiv, 2022 We study two families of orthogonal polynomials. The first is a finite family related to the Askey-Wilson polynomials but the orthogonality is on the real line. A limiting case of this family is an infinite system of orthogonal polynomials whose moment problem is indeterminate.
arxiv
On the Orthogonality of q-Classical Polynomials of the Hahn Class [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 This paper (arxiv 1107.2425 math.CA) has been withdrawn by the authors because we combine it with the paper arxiv 1107.2423 math.CA "On the orthogonality of q-classical polynomials of the Hahn class". The new version of arxiv 1107.2423 math.CA is now entitle "The orthogonality of q-classical polynomials of the Hahn class: A geometrical approach"
Taseli, Hasan +2 more
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