Results 101 to 110 of about 53,539 (221)
Time-Domain Dynamics of Fractional Viscoelastic Spinning Disks via Shifted Legendre Polynomials
Fractal and FractionalThis paper presents a novel algorithm for the dynamic analysis of fractional-order viscoelastic spinning disks in the time domain. The novelty mainly lies in the use of the shifted Legendre polynomial algorithm for the direct time-domain numerical ...
Yuxuan Ma +4 more
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Wind Energy, Volume 29, Issue 2, February 2026.ABSTRACT This study presents a polynomial‐based wind speed profile characterization framework that approximates full vertical profiles using five physically meaningful Chebyshev polynomial coefficients. The framework captures key morphological features of wind profiles, including mean wind speed, vertical shear, curvature, inflection‐related behavior ...
Harish Baki, Sukanta Basu
wiley +1 more source
Notes on Legendre polynomials [PDF]
Bulletin of the American Mathematical Society, 1945 Not ...
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Congruences concerning Legendre polynomials [PDF]
Proceedings of the American Mathematical Society, 2010 Let $p$ be an odd prime. In the paper, by using the properties of Legendre polynomials we prove some congruences for $\sum_{k=0}^{\frac{p-1}2}\binom{2k}k^2m^{-k}\mod {p^2}$. In particular, we confirm several conjectures of Z.W. Sun. We also pose 13 conjectures on supercongruences.
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Galactic Cosmic Ray Ionization on Uranus; Geomagnetic Latitude Dependencies
Journal of Geophysical Research: Planets, Volume 131, Issue 2, February 2026.Abstract Galactic Cosmic Rays (GCRs) are a major source of atmospheric ionization, influencing ion abundance, aerosol formation, and electrical processes. GCR‐induced effects are expected to be more pronounced on Uranus than planets closer to the Sun for two reasons; reduced solar irradiance, and weaker solar modulation of incident GCR.
Ola Al‐Khuraybi +2 more
wiley +1 more source
Mapping bee diversity with landscape‐level models to inform conservation
Conservation Science and Practice, Volume 8, Issue 2, February 2026.Native bee conservation is complicated by limited distribution data and life history knowledge. However, recent state‐wide pollinator surveys, combined with species distribution models that account for biased datasets and capture regional habitat associations, present a strong foundation for informing essential conservation action.
Mark A. Buckner +4 more
wiley +1 more source
Portfolio Optimization for Pension Purposes: Literature Review
Journal of Economic Surveys, Volume 40, Issue 1, Page 45-72, February 2026.ABSTRACT This systematic review identifies persistent challenges and gaps in the literature on pension portfolio optimization models. We searched, selected, and critically analyzed 82 articles from three major academic databases published over the past decade to investigate the barriers to the effective implementation of these models.
Leonardo Moreira +2 more
wiley +1 more source
On the non-existence of some interpolatory polynomials
International Journal of Mathematics and Mathematical Sciences, 1986 Here we prove that if xk, k=1,2,…,n+2 are the zeros of (1−x2)Tn(x) where Tn(x) is the Tchebycheff polynomial of first kind of degree n, αj, βj, j=1,2,…,n+2 and γj, j=1,2,…,n+1 are any real numbers there does not exist a unique polynomial Q3n+3(x) of ...
C. H. Anderson, J. Prasad
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Hypergeometric motives from Euler integral representations
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We revisit certain one‐parameter families of affine covers arising naturally from Euler's integral representation of hypergeometric functions. We introduce a partial compactification of this family. We show that the zeta function of the fibers in the family can be written as an explicit product of L$L$‐series attached to nondegenerate ...
Tyler L. Kelly, John Voight
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Remote SensingExploring the spatial distribution of sea surface height involves two primary methodologies: utilizing gridded reanalysis data post-secondary processing or conducting direct fitting along-track data.
Chunzheng Kong +3 more
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