Involving Nikiforov-Uvarov Method in Schrodinger Equation Obtaining Hartmann Potential
East European Journal of Physics, 2023 The total wave function and the bound state energy are investigated by involving the Nikiforov-Uvarov method to the Schrodinger equation in spherical coordinates employing Hartmann Potential (HP).
Mahmoud A. Al-Hawamdeh +3 more
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Gauss quadrature and Christoffel function for the associated Legendre weight function [version 1.0] [PDF]
, 2020 A set of MATLAB scripts related to Gauss quadrature and Christoffel function for the associated Legendre weight ...
Walter Gautschi,
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Multi-integral representations for Jacobi functions of the first and second kind
Arab Journal of Basic and Applied Sciences, 2023 One may consider the generalization of Jacobi polynomials and the Jacobi function of the second kind to a general function where the degree is allowed to be a complex number instead of a non-negative integer.
Howard S. Cohl, Roberto S. Costas-Santos
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Legendre Series Analysis and Computation via Composed Abel–Fourier Transform [PDF]
, 2023 Legendre coefficients of an integrable function f(x) are proved to coincide with the Fourier coefficients with a nonnegative index of a suitable Abel-type transform of the function itself.
Enrico De Micheli
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Two New Integral Transforms and Their Applications [PDF]
, 1972 This thesis is in two parts. In Part I the independent variable θ in the trigonometric form of Legendre's equation is extended to the range ( -∞, ∞).
Newhall, X X (Nicholas)
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Higher spin supersymmetry at the cosmological collider: sculpting SUSY rilles in the CMB
Journal of High Energy Physics, 2019 We study the imprint of higher spin supermultiplets on cosmological correlators, namely the non-Gaussianity of the cosmic microwave background. Supersymmetry is used as a guide to introduce the contribution of fermionic higher spin particles, which have ...
Stephon Alexander +4 more
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مجلة العلوم البحتة والتطبيقية, 2020 The connection between different classes of special functions is a very important aspect in establishing new properties of the related classical functions that is they can inherit the properties of each other. Here we show how the Hermite polynomials are
Haniyah Saed Ben Hamdin
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Development of a diffuse reflectance probe for in situ measurement of inherent optical properties in sea ice [PDF]
The Cryosphere, 2021 Detailed characterization of the spatially and temporally varying inherent optical properties (IOPs) of sea ice is necessary to better predict energy and mass balances, as well as ice-associated primary production.
C. Perron +10 more
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Holomorphic Extensions Associated with Fourier–Legendre Series and the Inverse Scattering Problem [PDF]
, 2021 In this paper, we consider the inverse scattering problem and, in particular, the problem of reconstructing the spectral density associated with the Yukawian potentials from the sequence of the partial-waves fℓ of the Fourier–Legendre expansion of the ...
Enrico De Micheli
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On Common Zeros of Legendre's Associated Functions [PDF]
Mathematics of Computation, 1984 In this paper it is proved that any two given Legendre associated functions P n m
openaire +2 more sources