Results 101 to 110 of about 516,382 (294)
Definite Integrals using Orthogonality and Integral Transforms
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We obtain definite integrals for products of associated Legendre functions with Bessel functions, associated Legendre functions, and Chebyshev polynomials of the first kind using orthogonality and integral transforms.
Howard S. Cohl, Hans Volkmer
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Results in Physics, 2017 The pseudo-spectral method with the Chebyshev and Legendre polynomials are used in order to compute the electric potential for a rodlike macromolecule located in salt free solution via the Poisson-Boltzmann equation (PBE). Afterwards, verification of the
Shaghayegh Nikzad +2 more
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Comparison of Random Regression Models with Different Order Legendre Polynomials for Genetic Parameter Estimation on Race Completion Speed of Arabian Horses. [PDF]
Animals (Basel), 2022 Önder H +6 more
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The Mathematical Scientist, 2015 In this article, a new operational matrix method based on shifted Legendre polynomials is presented and analyzed for obtaining numerical spectral solutions of linear and nonlinear second-order boundary value problems.
W. Abd-Elhameed +2 more
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Convergence properties of dynamic mode decomposition for analytic interval maps
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
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Representing by Orthogonal Polynomials for Sums of Finite Products of Fubini Polynomials
Mathematics, 2019 In the classical connection problem, it is dealt with determining the coefficients in the expansion of the product of two polynomials with regard to any given sequence of polynomials.
Dae San Kim +3 more
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Optics Express, 2015 Based on the Legendre polynomials expressions and its properties, this article proposes a new approach to reconstruct the distorted wavefront under test of a laser beam over square area from the phase difference data obtained by a RSI system.
E. Kewei +4 more
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Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
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THE LEGENDRE POLYNOMIALS AS A BASIS FOR BESSEL FUNCTIONS
, 2016 : By using the concepts and the formalism of the Monomiality Principle, we introduce a generalization of Bessel functions. The starting point is represented by Legendre polynomials, presented as particular case of generalized Laguerre polynomials of two ...
C. Cesarano, P. Ricci
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