Results 21 to 30 of about 56,667 (302)
The Stenger conjectures and the A-stability of collocation Runge-Kutta methods
Journal of Inequalities and Applications, 2023 Stenger conjectures are claims about the location of the eigenvalues of matrices whose elements are certain integrals involving basic Lagrange interpolating polynomials supported on the zeros of orthogonal polynomials. In this paper, we show the validity
Rachid Ait-Haddou, Hoda Alselami
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Dunkl-supersymmetric orthogonal functions associated with classical orthogonal polynomials [PDF]
Journal of Physics A: Mathematical and Theoretical, 2019 We consider the eigenvalue problem associated with the Dunkl-type differential operator (in which the reflection operator R is involved) in the context of supersymmetric quantum mechanical models. By solving this eigenvalue problem with the help of known
Yu Luo +3 more
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RECURRENCE RELATIONS FOR SOBOLEV ORTHOGONAL POLYNOMIALS
Проблемы анализа, 2020 We consider recurrence relations for the polynomials orthonormal with respect to the Sobolev-type inner product and generated by classical orthogonal polynomials, namely: Jacobi polynomials, Legendre polynomials, Chebyshev polynomials of the first and ...
M. S. Sultanakhmedov
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On classical orthogonal polynomials related to Hahn's operator [PDF]
Integral transforms and special functions, 2019 Let be a non-zero linear functional acting on the space of polynomials. Let be a Hahn operator acting on the dual space of polynomials. Suppose that there exist polynomials φ and ψ, with and , so that the functional equation holds, where the involved ...
R. Álvarez-Nodarse +3 more
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Fourier coefficients for Laguerre–Sobolev type orthogonal polynomials [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – In this paper, the authors take the first step in the study of constructive methods by using Sobolev polynomials. Design/methodology/approach – To do that, the authors use the connection formulas between Sobolev polynomials and classical ...
Alejandro Molano
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On Semi-Classical Orthogonal Polynomials Associated with a Modified Sextic Freud-Type Weight
Mathematics, 2020 Polynomials that are orthogonal with respect to a perturbation of the Freud weight function by some parameter, known to be modified Freudian orthogonal polynomials, are considered. In this contribution, we investigate certain properties of semi-classical
A. Kelil, A. Appadu
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Evaluations of certain Catalan-Hankel Pfaffians via classical skew orthogonal polynomials [PDF]
Journal of Physics A: Mathematical and Theoretical, 2021 This paper is to evaluate certain Catalan-Hankel Pfaffians by the theory of skew orthogonal polynomials. Due to different kinds of hypergeometric orthogonal polynomials underlying the Askey scheme, we explicitly construct the classical skew orthogonal ...
Bo-Jian Shen, Shi-Hao Li, Guo-Fu Yu
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Mathematics, 2023 This paper studies a new family of Angelesco multiple orthogonal polynomials with shared orthogonality conditions with respect to a system of weight functions, which are complex analogs of Pascal distributions on a legged star-like set.
Jorge Arvesú +1 more
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Characterization of classical type orthogonal polynomials [PDF]
Proceedings of the American Mathematical Society, 1994 We characterize the classical type orthogonal polynomials { P n ( x ) } 0 ∞ \{ {P_n}(x)\} _0^\infty satisfying a fourth-order differential equation of type \[ ∑ i
KWON, KH Kwon, Kil Hyun +3 more
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Sums of finite products of Pell polynomials in terms of hypergeometric functions
Journal of the Egyptian Mathematical Society, 2022 In this work, we study sums of finite products of Pell polynomials and express them in terms of some special orthogonal polynomials. Furthermore, each of the obtained expression is represented as linear combinations of classical polynomials involving ...
Asim Patra, Gopal Krishna Panda
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