Results 21 to 30 of about 57,584 (243)
Ural Mathematical Journal, 2022 In this paper, we introduce the concept of the \(\mathbb{B}_{\alpha}\)-classical orthogonal polynomials, where \(\mathbb{B}_{\alpha}\) is the raising operator \(\mathbb{B}_{\alpha}:=x^2 \cdot {d}/{dx}+\big(2(\alpha-1)x+1\big)\mathbb{I}\), with nonzero ...
Baghdadi Aloui, Jihad Souissi
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Krylov complexity and orthogonal polynomials
Nuclear Physics B, 2022 Krylov complexity measures operator growth with respect to a basis, which is adapted to the Heisenberg time evolution. The construction of that basis relies on the Lanczos algorithm, also known as the recursion method.
Wolfgang Mück, Yi Yang
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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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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 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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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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