Results 41 to 50 of about 155,769 (214)
Addition Formula For Big q-Legendre Polynomials From The Quantum Su(2) Group
, 1995 From Koornwinder's interpretation of big q-Legendre polynomials as spherical elements on the quantum SU(2) group an addition formula is derived for the big g-Legendre polynomial.
Koelink, H.T., H. T. Koelink
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Improving Thermal Transport in Carbon Nanotube Films Through Interface and Structural Optimization
Carbon and Hydrogen, EarlyView.Using over 400 nonequilibrium molecular dynamics simulations, the effects of CNT alignment, density, tube length, and interfacial thermal resistance on heat transport in carbon nanotube films were investigated. Interfacial thermal resistance was identified as the primary performance‐limiting factor, whereas improved alignment increased the thermal ...
Sohail Aamar Malik +2 more
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International Journal of Mathematics and Mathematical Sciences, 1985 The Legendre numbers, an infinite set of rational numbers are defined from the associated Legendre functions and several elementary properties are presented. A general formula for the Legendre numbers is given. Applications include summing certain series
Paul W. Haggard
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On the Fractional Order Rodrigues Formula for the Shifted Legendre-Type Matrix Polynomials
Mathematics, 2020 The generalization of Rodrigues’ formula for orthogonal matrix polynomials has attracted the attention of many researchers. This generalization provides new integral and differential representations in addition to new mathematical results that are ...
Mohra Zayed +3 more
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Planar Coulomb Gas on a Jordan Arc at Any Temperature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study a planar Coulomb gas confined to a sufficiently smooth Jordan arc γ$\gamma$ in the complex plane, at inverse temperature β>0$\beta > 0$. Let Z¯nβ(γ)=Znβ(γ)((2cap(γ))βn2/2e(1−β/2)n(H(νe,γ)−H(νe,I)),$$\begin{equation*} \bar{Z}_{n}^\beta (\gamma)=\frac{Z_n^\beta (\gamma)}{((2\text{cap}(\gamma))^{\beta n^2/2}e^{(1-\beta /2)n(H(\nu _{e ...
K. Courteaut, K. Johansson, F. Viklund
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Holocene vegetation change and fire–plant diversity shifts in Mediterranean France
Journal of Quaternary Science, EarlyView.ABSTRACT Changes in fire activity are recognized as a major threat to biodiversity and vegetation communities across the Mediterranean Basin. However, long‐term fire–vegetation interactions remain poorly investigated. Here, we combine a high‐resolution charcoal record with pollen data from the “Étang des Aulnes” lake (southern France) to reconstruct ...
Cécile Latapy +13 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo +2 more
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Abstract and Applied Analysis, 2013 We extend the application of the Galerkin method for treating the multiterm fractional differential equations (FDEs) subject to initial conditions. A new shifted Legendre-Galerkin basis is constructed which satisfies exactly the homogeneous initial ...
A. H. Bhrawy, M. A. Alghamdi
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Journal of Field Robotics, EarlyView.ABSTRACT Drone light shows (DLShows) represent a rapidly growing application of swarm robotics, creating captivating aerial displays through the synchronized flight of hundreds or thousands of unmanned aerial vehicles (UAVs) as environmentally friendly and reusable alternatives to traditional pyrotechnics.
Yunes Alqudsi
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On the Persson-Strang’s Identity for the Legendre Polynomials [PDF]
, 2023 We show an alternative proof of an identity given by Persson-Strang for the well known Legendre polynomials ...
López-Bonilla, J. +2 more
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