Results 31 to 40 of about 8,602 (292)
Bounds for Two New Subclasses of Bi-Univalent Functions Associated with Legendre Polynomials [PDF]
, 2021 In this article, two new subclasses of the bi-univalent function class σ related with Legendre polynomials are presented. Additionally, the first two Taylor–Maclaurin coefficients a2 and a3 for the functions belonging to these new subclasses ...
Amani Z. Bajamal +2 more
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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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Evaluating High-Degree-and-Order Gravitational Harmonics and its Application to the State Predictions of a Lunar Orbiting Satellite [PDF]
Journal of Astronomy and Space Sciences, 2015 In this work, an efficient method with which to evaluate the high-degree-and-order gravitational harmonics of the nonsphericity of a central body is described and applied to state predictions of a lunar orbiter. Unlike the work of Song et al.
Young-Joo Song, Bang-Yeop Kim
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The Mehler-Fock transform of general order and arbitrary index and its inversion
International Journal of Mathematics and Mathematical Sciences, 1984 An integral transform involving the associated Legendre function of zero order, P−12+iτ(x), x∈[1,∞), as the kernel (considered as a function of τ), is called Mehler-Fock transform. Some generalizations, involving the function P−12+iτμ(x), where the order
Cyril Nasim
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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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Associated legendre polynomials, ordinary and modified spherical harmonics [PDF]
, 2019 Title of program : LEGENDRE Catalogue : ABME Program obtainable from : CPC Program Library, Queen's University of Belfast, N. Ireland (see application form in this issue).
W.J. Braithwaite (8091575)
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Revista Brasileira de Zootecnia, 2008 Foram utilizados 20.065 pesos de 3.016 animais da raça Nelore com o objetivo de comparar os valores genéticos para características de crescimento, preditos pelo modelo de regressão aleatória (RA) sobre polinômios de Legendre da idade (PL) e pelo modelo ...
Lucia Galvão de Albuquerque +1 more
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Modeling of Ionospheric Delay for SBAS Using Spherical Harmonics Functions [PDF]
TransNav, 2013 In SBAS (satellite-based augmentation system), it is important to estimate ionospheric delay accurately to guarantee user's accuracy and integrity. Grid based ionospheric models are generally used to estimate ionospheric delay for SBAS.
Deokhwa Han, Ho Yun, Changdon Kee
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Геофизический журнал, 2021 From the point of view of modeling the internal structure of the Earth, its figure and evolution play an important role, which to one degree or another are associated with gravitational energy and the principle of its minimization.
М.М. Fys, А.L. Tserklevych
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An Expansion in Terms of Associated Legendre Functions [PDF]
Proceedings of the Glasgow Mathematical Association, 1952 If the right-hand side of the expansionis integrated m times from 1 to µ, it ...
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