Results 21 to 30 of about 6,156 (296)
Mathematics, 2023 Under simply supported plate (SSP) boundary conditions, a numerical method based on the higher-order Legendre polynomial approximation was studied and developed for fourth-order problems with variable coefficients.
Hui Zhang +4 more
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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
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On computation of Hough functions [PDF]
Geoscientific Model Development, 2016 Hough functions are the eigenfunctions of the Laplace tidal equation governing fluid motion on a rotating sphere with a resting basic state. Several numerical methods have been used in the past.
H. Wang, J. P. Boyd, R. A. Akmaev
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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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Associated Legendre Functions and Coolings of a Heated Cylinder [PDF]
, 2014 In this paper associated Legendre functions have been employed to obtain solutions of the fundamental differential equations of the cooling of a heated ...
Taxak, R. L.
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Note on the Integrals of Products of Associated Legendre Functions [PDF]
The Computer Journal, 1964 Although closed-form expressions are available in particular cases (Gaunt, 1929), they are, in general, unattractive for machine use. Other expressions for the general case have been given (Miller, 1963; Joy, 1962), but have been found comparatively less convenient for the computation of IK than the method suggested in the present work.
J. A. Grant, Oliver G. Ludwig
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Mutually inverse series relating Ferrers and associated Legendre functions and generating functions pertaining to them [PDF]
, 2023 This article deals with three types of mutually inverse series relating Ferrers and associated Legendre functions of arbitrary complex indexes and orders established on the base of integral representations by using a number of generating functions (some ...
Malits, P.
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A concise way to generate expressions for spherical harmonics [PDF]
Revista Brasileira de Ensino de FísicaThis paper presents a concise way to approach spherical harmonics. Deriving expressions for spherical harmonics from basic angular-momentum algebra is natural but cumbersome in detail.
Alexey E. Rastegin
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The Analysis of the Associated Legendre Functions with Non-Integral Degree [PDF]
, 2011 Spherical cap harmonic (SCH) theory has been widely used to format regional model of fields that can be expressed as the gradient of a scalar potential.
Yin Fu Chen +2 more
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A new Fortran 90 program to compute regular and irregular associated Legendre functions (new version announcement) [PDF]
, 2018 This is a revised and updated version of a modern Fortran 90 code to compute the regular P_l^m(x) and irregular Q_l^m(x) associated Legendre functions for all x∈(−1,+1) (on the cut) and |x|>1 and integer degree (l) and order (m).
Schneider, B (via Mendeley Data)
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