Results 51 to 60 of about 31,835 (251)
Fractional Supersymmetric Hermite Polynomials [PDF]
Mathematics, 2020 We provide a realization of fractional supersymmetry quantum mechanics of order r, where the Hamiltonian and the supercharges involve the fractional Dunkl transform as a Klein type operator. We construct several classes of functions satisfying certain orthogonality relations.
Fethi Bouzeffour, Wissem Jedidi
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A NEW CHARACTERIZATION OF SYMMETRIC DUNKL AND \(q\)-DUNKL-CLASSICAL ORTHOGONAL POLYNOMIALS
Ural Mathematical Journal, 2023 In this paper, we consider the following \(\mathcal{L}\)-difference equation $$\Phi(x) \mathcal{L}P_{n+1}(x)=(\xi_nx+\vartheta_n)P_{n+1}(x)+\lambda_nP_{n}(x),\quad n\geq0,$$where \(\Phi\) is a monic polynomial (even), \(\deg\Phi\leq2\), \(\xi_n ...
Yahia Habbachi
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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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Series Prediction based on Algebraic Approximants [PDF]
, 2011 It is described how the Hermite-Pad\'e polynomials corresponding to an algebraic approximant for a power series may be used to predict coefficients of the power series that have not been used to compute the Hermite-Pad\'e polynomials.
Homeier, Herbert H. H.
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On integrals involving Hermite polynomials
Applied Mathematics Letters, 2012 4 ...
M. Quattromini +2 more
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Properties of Multivariable Hermite Polynomials in Correlation with Frobenius–Genocchi Polynomials
Mathematics, 2023 The evolution of a physical system occurs through a set of variables, and the problems can be treated based on an approach employing multivariable Hermite polynomials.
Shahid Ahmad Wani +3 more
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Hermite and Laguerre 2D polynomials
Journal of Computational and Applied Mathematics, 2001 AbstractWe define Hermite 2D polynomials Hm,n(U;x,y) and Laguerre 2D polynomials Lm,n(U;z,z̄) as functions of two variables with an arbitrary 2D matrix U as parameter and discuss their properties and their explicit representation. Recursion relations and generating functions for these polynomials are derived. The advantage of the introduced Hermite and
Alfred Wünsche
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Journal of Combinatorial Theory, Series A, 2000 AbstractWe give an elementary proof that a transformation based on the Hermite polynomials preserves the property of having all real roots.
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Spreading lengths of Hermite polynomials
Journal of Computational and Applied Mathematics, 2010 16 pages, 4 figures.
Rafael J. Yáñez +3 more
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Fourier transform of hn(x + p)hn(x − p)
International Journal of Mathematics and Mathematical Sciences, 1997 We evaluate Fourier transform of a function with Hermite polynomials involved. An elementary proof is based on a combinatorial formula for Hermite polynomials.
Mourad E. H. Ismail, Krzystztof Stempak
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