Results 91 to 100 of about 73,008 (249)
Realizations of $su(1,1)$ and $U_q(su(1,1))$ and generating functions for orthogonal polynomials
Positive discrete series representations of the Lie algebra $su(1,1)$ and the quantum algebra $U_q(su(1,1))$ are considered. The diagonalization of a self-adjoint operator (the Hamiltonian) in these representations and in tensor products of such ...
Jagannathan, R., Van der Jeugt, J.
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ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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On the spectrum of tridiagonal matrices with two-periodic main diagonal
We find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main ...
Dyachenko Alexander, Tyaglov Mikhail
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Discrete Entropies of Chebyshev Polynomials
Because of its flexibility and multiple meanings, the concept of information entropy in its continuous or discrete form has proven to be very relevant in numerous scientific branches. For example, it is used as a measure of disorder in thermodynamics, as
Răzvan-Cornel Sfetcu +2 more
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On the ω-multiple Meixner polynomials of the first kind
In this study, we introduce a new family of discrete multiple orthogonal polynomials, namely ω-multiple Meixner polynomials of the first kind, where ω is a positive real number.
Sonuç Zorlu Oğurlu, İlkay Elidemir
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Laguerre-Freud equations for Generalized Hahn polynomials of type I
We derive a system of difference equations satisfied by the three-term recurrence coefficients of some families of discrete orthogonal ...
Dominici, Diego
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Discrete orthogonal polynomials on Gauss–Lobatto Chebyshev nodes
This paper deals with explicit formulas for discrete orthogonal polynomials over the so-called Gauss-Lobatto Chebyshev nodes \[ X_n=\{x_k=-\cos((k-1)\pi/(n-1))\},\quad k=1, 2, \ldots ,n. \] The orthogonal polynomials \(p_k(x)\) (\(k=1, 2, \dots ,n\)) with respect to the discrete inner product \(\langle f,g\rangle=\sum_{k=1}^nf(x_k)g(x_k)\) on the set \(
Eisinberg A, FEDELE, Giuseppe
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What Drives CSR Performance: Structures, Declarations or Values?
ABSTRACT Sustainability and corporate social responsibility (CSR) are increasingly central to strategic management, yet a gap persists between formal commitments and actual practice. The study explores the structural and value‐based predictors of the institutional integration of CSR and sustainability, with a focus on the mediating role of the CSR ...
Pavla Vrabcová +3 more
wiley +1 more source
Discrete Orthogonal Polynomial Expansions of Averaged Functions
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Joint orientation significantly affects P‐wave velocity, with the highest velocity at zero‐degree angles, decreasing to 30° as the angle increases. The velocity increases slightly from 30 to 45 degrees but sharply decreases from 45 to 90 degrees. Abstract Determination of the required parameters in different science contexts using the ultrasonic wave ...
Yaghoob Zarei +4 more
wiley +1 more source

