Results 21 to 30 of about 5,765 (234)
Some applications of Legendre numbers [PDF]
International Journal of Mathematics and Mathematical Sciences, 1988 The associated Legendre functions are defined using the Legendre numbers. From these the associated Legendre polynomials are obtained and the derivatives of these polynomials at x=0 are derived by using properties of the Legendre numbers.
Paul W. Haggard
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Insight into Genome-Wide Associations of Growth Trajectories Using a Hierarchical Non-Linear Mixed Model [PDF]
BiologyIn applying a hierarchical mixed model to genome-wide association analysis (GWAS) of longitudinal data, dimensionality reduction through modeling repeated measurements improves both computational efficiency and statistical power. Legendre polynomials can
Ying Zhang +3 more
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Orthoexponential polynomials and the Legendre polynomials [PDF]
Applications of Mathematics, 1978 summary:Orthoexponential polynomials can be expressed in terms of the Legendre polynomials. The formulae proved in this paper are useful for the computation of the values of orthoexponential polynomials.
Jaroch, Otakar
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Properties of Clifford-Legendre Polynomials [PDF]
Advances in Applied Clifford Algebras, 2022 Clifford-Legendre and Clifford-Gegenbauer polynomials are eigenfunctions of certain differential operators acting on functions defined on $m$-dimensional euclidean space ${\mathbb R}^m$ and taking values in the associated Clifford algebra ${\mathbb R}_m$.
Ghaffari, Hamed Baghal +2 more
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FUZZIFICATION OF LEGENDRE POLYNOMIALS
, 2018 In this paper, we have considered basic Legendre polynomials obtained from Rodrigue’s formula and observed the findings if we use fuzzy intervals citing the particular case of increasing order of the arguments and using triangular fuzzy number in the polynomials taken into consideration.
Raphel Kumar Saikia
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Karpatsʹkì Matematičnì Publìkacìï, 2020 In this paper, block pulse functions and hybrid Legendre polynomials are introduced. The estimators of a function $f$ having first and second derivative belonging to $Lip_\alpha[a,b]$ class, $0 < \alpha \leq 1$, and $a$, $b$ are finite real numbers, by ...
S. Lal, V.K. Sharma
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Meshless local Petrov-Galerkin method for rotating Rayleigh beam using Chebyshev and Legendre polynomials [PDF]
Archive of Mechanical Engineering, 2022 The numerical solutions are obtained for rotating beams; the inclusion of centrifugal force term makes it difficult to get the analytical solutions. In this paper, we solve the free vibration problem of rotating Rayleigh beam using Chebyshev and Legendre
Vijay Panchore
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About the Legendre type operators [PDF]
E3S Web of Conferences, 2021 The article considers Legendre type operators acting in the corresponding weight separable Hilbert spaces. The choice of these spaces is due to the fact that these operators preserve all properties of the Legendre operator acting on L2 (-1,1).
Maleko Evgeny
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A Property of Legendre Polynomials [PDF]
Proceedings of the National Academy of Sciences, 1970 Remark I: The Legendre polynomials are the spherical functions for the symmetric space SO(3)/SO(2). A property analogous to that stated in the above theorem holds for other symmetric spaces. In this fashion we get also new properties for Gegenbauer polynomials, Bessel, and Legendre functions.
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Asymptotics for Stieltjes polynomials, Padé-type approximants, and Gauss-Kronrod quadrature [PDF]
, 2002 23 pages, 1 figure.-- MSC1991 codes: Primary: 41A21, 42C05; Secondary: 30E10.MR#: MR1894475 (2002m:41021)Zbl#: Zbl 1020.41019We study the asymptotic properties of Stieltjes polynomials outside the support of the measure as well as the asymptotic ...
López Lagomasino, Guillermo +11 more
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