Results 91 to 100 of about 49,043 (210)
Spectroscopy and Conformer‐Selective Photoelectron Circular Dichroism of Chiral Molecules
Chemistry – An Asian Journal, Volume 21, Issue 9, 14 May 2026.Photoelectron circular dichroism (PECD) is a forward–backward asymmetry in the angular distribution of the electrons emitted by a chiral molecule ionized by a circularly polarized light (CPL). Its sensitivity to conformation is studied by one‐photon or resonance‐enhanced two‐photon ionization, the latter being conformer‐selective.
Laurent Nahon, Anne Zehnacker
wiley +1 more source
On the Expansion of Legendre Polynomials in Bicomplex Space and Coupling with Fractional Operators
AxiomsIn this paper, we introduce a novel version of the Legendre polynomials in the bicomplex system. We investigate the essential properties of the Legendre polynomial, focusing on its bicomplex structure, generating functions, orthogonality, and recurrence ...
Ahmed Bakhet +3 more
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Mathematics, 2018 This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials.
Taekyun Kim +3 more
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Moderate Deviation Principles for Lacunary Trigonometric Sums
Mathematische Nachrichten, Volume 299, Issue 5, Page 1028-1044, May 2026.ABSTRACT Classical works of Kac, Salem, and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For instance, they satisfy a central limit theorem (CLT) and a law of the iterated logarithm.
Joscha Prochno, Marta Strzelecka
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Definite Integrals using Orthogonality and Integral Transforms
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We obtain definite integrals for products of associated Legendre functions with Bessel functions, associated Legendre functions, and Chebyshev polynomials of the first kind using orthogonality and integral transforms.
Howard S. Cohl, Hans Volkmer
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Comparison of Random Regression Models with Different Order Legendre Polynomials for Genetic Parameter Estimation on Race Completion Speed of Arabian Horses. [PDF]
Animals (Basel), 2022 Önder H +6 more
europepmc +1 more source
On the coefficients of differentiated expansions of ultraspherical polynomials [PDF]
A formula expressing the coefficients of an expression of ultraspherical polynomials which has been differentiated an arbitrary number of times in terms of the coefficients of the original expansion is proved.
Karageorghis, Andreas +1 more
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Oikos, Volume 2026, Issue 5, May 2026.Biodiversity dynamics in heterogeneous landscapes is the result of a complex interplay between movement processes of organisms within and between habitat patches, and niche filtering processes due to spatially varying environmental conditions. Disentangling the relative influences of these different processes on community assembly and dynamics is a ...
Gwenaelle Auger +6 more
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Legendre Polynomials Roots and the $F$-Pure Threshold of bivariate Forms
, 2020 We provide a direct computation of the $F$-pure threshold of degree four homogeneous polynomial in two variables and, more generally, of certain homogeneous polynomials with four distinct roots.
Pagi, Gilad
core
Forward and Adjoint Calculations of Gravitational Potential in Heterogeneous, Aspherical Planets
Earth and Space Science, Volume 13, Issue 5, May 2026.Abstract We have developed a computational package for the calculation of numerically exact internal and external gravitational potential, its functional derivatives and sensitivity kernels, in an aspherical, heterogeneous planet. We detail our implementation, utilizing a transformation of the Poisson equation into a spherical reference domain, as well
Alex D. C. Myhill +2 more
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