Generalization of matching extensions in graphs—combinatorial interpretation of orthogonal and q-orthogonal polynomials [PDF]
, 2005 In this paper, we present generalization of matching extensions in graphs and we derive combinatorial interpretation of wide classes of orthogonal and q-orthogonal polynomials. Specifically, we assign general weights to complete graphs, cycles and chains
Kyriakoussis, A., Vamvakari, M.G.
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Jacobi polynomials and generalized Clifford algebra-valued Appell sequences [PDF]
, 2014 : Appell sequences in Clifford analysis are defined as polynomial families on which the Heisenberg algebra acts through a raising and a lowering operator satisfying the canonical Heisenberg relation. Recently, these sequences have gained new interest, as
David Eelbode +3 more
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A prospective study of the k-factor Gegenbauer processes with heteroscedastic errors and an application to inflation rates [PDF]
We investigate some statistical properties of the new k-factor Gegenbauer process with heteroscedastic noises One of the goals of the paper is to give tools which permit to use this model to explain the behaviour of certain data sets in finance and in ...
Dominique Guegan
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Rényi Entropies of Multidimensional Oscillator and Hydrogenic Systems with Applications to Highly Excited Rydberg States. [PDF]
Entropy (Basel), 2022 Dehesa JS.
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Jaynes-Gibbs Entropic Convex Duals and Orthogonal Polynomials. [PDF]
Entropy (Basel), 2022 Le Blanc R.
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A “Continuous ” Limit of the Complementary Bannai–Ito Polynomials: Chihara Polynomials [PDF]
, 2014 . A novel family of −1 orthogonal polynomials called the Chihara polynomials is characterized. The polynomials are obtained from a “continuous ” limit of the comple-mentary Bannai–Ito polynomials, which are the kernel partners of the Bannai–Ito polyno ...
Vincent X. Genest +5 more
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High Dimensional Atomic States of Hydrogenic Type: Heisenberg-like and Entropic Uncertainty Measures. [PDF]
Entropy (Basel), 2021 Dehesa JS.
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Higher-Dimensional Fractional Order Modelling for Plasma Particles with Partial Slip Boundaries: A Numerical Study. [PDF]
Nanomaterials (Basel), 2021 Zubair T +3 more
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Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold. [PDF]
Constr Approx, 2023 Dick J +3 more
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New Generating Functions for Chebyshev, Gegenbauer, and Jacobi Matrix Polynomials
Mediterranean Journal of MathematicsAbstract This paper presents a unified approach to deriving generating functions for the important class of matrix analogues of the Chebyshev, Gegenbauer, and Jacobi polynomials. Alongside these results, we also establish several explicit identities for the corresponding scalar polynomial families, which, to the best of our knowledge,
Emilio Defez, Michael M. Tung
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