Biorthogonal polynomials suggested by the Laguerre polynomials [PDF]
Pacific Journal of Mathematics, 1967 openaire +2 more sources
Numerical solution of DGLAP equations using Laguerre polynomials expansion and Monte Carlo method. [PDF]
Springerplus, 2016 Ghasempour Nesheli A +2 more
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The Double Dyson Index β Effect in Non-Hermitian Tridiagonal Matrices. [PDF]
Entropy (Basel), 2023 Goulart CA, Pato MP.
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On a set of polynomials suggested by Laguerre polynomials [PDF]
Pacific Journal of Mathematics, 1970 openaire +2 more sources
Bounds for zeros of the Laguerre polynomials
Journal of Approximation Theory, 2003 The author shows that the least and largest zeros \(x_1, x_n\) of the Laguerre polynomial \(L_n ^{(\alpha)}(x)\) satisfies \[ x_1 > s-r + {(s-r)^{2/3} \over 2r^{1/3}} \] \[ x_n < s+r + {(s+r)^{2/3} \over 2r^{1/3}} \] with \[ s=2n+ \alpha +1, \;r= \sqrt{4n^2 +(2n-1)(2 \alpha +2)} \] provided \(n\geq 7, \alpha \geq 8\).
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The Use of Generalized Laguerre Polynomials in Spectral Methods for Solving Fractional Delay Differential Equations. [PDF]
J Comput Nonlinear Dyn, 2013 Khader MM.
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Solution of nonlinear mixed integral equation via collocation method basing on orthogonal polynomials. [PDF]
Heliyon, 2022 Jan AR.
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A Class of Algorithms for Recovery of Continuous Relaxation Spectrum from Stress Relaxation Test Data Using Orthonormal Functions. [PDF]
Polymers (Basel), 2023 Stankiewicz A.
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Orthogonal Polynomials with Singularly Perturbed Freud Weights. [PDF]
Entropy (Basel), 2023 Min C, Wang L.
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