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Wathek Talebaoui 《International Journal of Theoretical Physics》1995,34(3):369-386
The Kähler equation for an inhomogeneous differential form is analyzed in some detail and expressed in a set of coordinates called Riemann normal coordinates. A class of solutions to the Kähler spinors is constructed. It is shown how we can perturbatively decouple the Kähler equation and write its solution as a sum of spinors by considering the isomorphism between Clifford and the total matrix algebras. 相似文献
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Periodica Mathematica Hungarica - In this paper, we develop a new relation between certain types of generating functions using formal algorithmic methods. As an application, we give a relation... 相似文献
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Wathek Chammam 《Integral Transforms and Special Functions》2019,30(7):581-593
In this paper we will introduce a sequence of complex numbers that are called the Jacobi numbers. This sequence generalizes in a natural way several sequences that are known in the literature, such as Catalan numbers, central binomial numbers, generalized catalan numbers, the coefficient of the Hilbert matrix and others. Subsequently, using a study of the polynomial of Jacobi, we give an evaluation of the Hankel determinants that associated with the sequence of Jacobi numbers. Finally, by finding a relationship between the Jacobi numbers and generalized harmonic numbers, we determine the evaluation of the Hankel determinants that are associated with generalized harmonic numbers. 相似文献
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Baghdadi Aloui Wathek Chammam Ziyad A. Alhussain 《Mathematical Methods in the Applied Sciences》2020,43(5):2656-2664
In this paper, we present several properties of the centroid of the zeroes of a polynomial. As an illustration, we apply these results to the d-orthogonal polynomials. Finally, we provide the relationship between different centroids of a general monic polynomial and its image under a certain Laguerre–type operator. 相似文献
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Marwa Chammam Irving Caballero‐Quintana Denisse Barreiro‐Argüelles Olivia Amargs‐Reyes Youssef Aidibi Brice Kauffmann Carine Duhayon Jos‐Luis Maldonado Gabriel Ramos‐Ortíz Valrie Maraval Remi Chauvin 《Helvetica chimica acta》2019,102(5)
With the view to altering the lipophilicity and electron accepting ability of the tetraphenyl‐carbo‐benzene scaffold, peripheral fluorination of the C18 ring through aromatic linkers was envisaged from the C18Ph6 and o‐tBu2C18Ph4 references, by replacement of two Ph substituents with two p‐CF3‐C6H4 counterparts (FTol). The synthesis relied on a [8+10] macrocyclization involving a common bis(trifluorotolyl)‐tetraynedione, followed by reductive aromatization of the resulting [6]pericyclynediols. While p‐FTol2C18Ph4 proved to be hardly tractable due to an extremely low solubility, p‐FTol2‐o‐tBu2C18Ph2 could be extensively studied by X‐ray crystallography, NMR and UV/Vis spectroscopy, voltammetry, STM imaging of monolayers, and AFM imaging of binary films with P3HT or PC71BM fabricated by spin‐coating for organic photovoltaic cells and J?V curve measurement thereof. The electronic and polarity properties are correlated with moderate but consistent electron‐withdrawing effects of the CF3 groups, in agreement with the DFT‐calculated frontier orbitals and multipole moments. The results provide guidelines for optimization of fluorinated carbo‐benzene targets. 相似文献
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Wathek Talebaoui 《General Relativity and Gravitation》1994,26(7):663-679
We examine in detail a class of cosmological solutions to the coupled Einstein-KÄhler field equations in space-time geometries described by the Friedmann-Robertson-Walker metric. We consider the massive cases of the KÄhler equation for generating these solutions. 相似文献
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We present a new solution of the Dirac equation in the background of a plane wave metric. We examine the relation between sections of the exterior and Clifford bundles of a (pseudo-)Riemannian manifold. A spinor calculus is established and used to investigate a new solution of the Dirac equation lying in a minimal left ideal characterized by a certain idempotent projector. 相似文献
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