Results 91 to 100 of about 4,716 (302)
Majorization Inequalities via Peano's Representation of Hermite's Polynomial
International Journal of Analysis and Applications, 2018 The Peano's representation of Hermite polynomial and new Green functions are used to construct the identities related to the generalization of majorization type inequalities in discrete as well as continuous case.
N. Latif, N. Siddique, J. Pecaric
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Weak polynomial identities of small degree for the Weyl algebra
In this paper we investigate weak polynomial identities for the Weyl algebra$\mathsf{A}_1$ over an infinite field of arbitrary characteristic. Namely, wedescribe weak polynomial identities of the minimal degree, which is three, andof degrees 4 and 5.
Tang, Liming +2 more
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Structure theory for the group algebra of the symmetric group, with applications to polynomial identities for the octonions [PDF]
, 2016 summary:This is a survey paper on applications of the representation theory of the symmetric group to the theory of polynomial identities for associative and nonassociative algebras.
Peresi, L.A. +5 more
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Interplay Between Phase Evolution, Fe Migration, and Oxygen Redox in O3‐Type NaxFeyMn1−yO2 Cathodes
Advanced Functional Materials, EarlyView.Why do Na‐ion battery cathodes, that are compositionally closely related, follow different structural paths during battery operation? This work shows how Fe content controls when iron atoms migrate from their original sites. Early migration locks the layers and blocks key phase transitions, whereas delayed migration permits fuller structural ...
Morten Johansen +4 more
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Old and New Identities for Bernoulli Polynomials via Fourier Series
International Journal of Mathematics and Mathematical Sciences, 2012 The Bernoulli polynomials Bk restricted to [0,1) and extended by periodicity have nth sine and cosine Fourier coefficients of the form Ck/nk. In general, the Fourier coefficients of any polynomial restricted to [0,1) are linear combinations of terms of ...
Luis M. Navas +2 more
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Mechanoluminescent HOF Nanotransducers Enabled Sono‐Optogenetics in Parkinsonian Rats
Advanced Functional Materials, EarlyView.We present a mechanoluminescent system utilizing porous hydrogen‐bonded organic frameworks (HOFs) as a toolkit for focused ultrasound‐triggered, non‐invasive light delivery to the deep brain in rats. This approach enables the specific activation of PV‐GPe neurons in dopamine‐depleted Parkinson's disease rat models, resulting in a comparable alleviation
Wenliang Wang +18 more
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On image formulas for the product of polynomials and the Yang Y-function via the BA-transform
Mathematics OpenThis study introduces novel image formulas involving the product of a polynomial family and the Yang Y-function using the BA transform, which are useful in analytical techniques such as the evaluation of integrals and the solution of differential and ...
Engdasew Birhane, D. L. Suthar
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Fermatian row and column sums as a family of generalized integers [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we introduce some feature of the Fermatian numbers. The finite sum formulas of these numbers is calculate. The exponential generating function of Fermatian numbers is found and some of its identities is calculated.
Anthony G. Shannon +2 more
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Polynomial Identities and Nonidentities of Split Jordan Pairs
, 1999 We show that split Jordan pairs over rings without 2-torsion can be distinguished by polynomial identities with integer coefficients. In particular, this holds for simple finite-dimensional Jordan pairs over algebraically closed fields of characteristic ...
Neher, Erhard
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