Results 91 to 100 of about 9,360 (297)

Waring-Girard formulas for block-symmetric and block-supersymmetric polynomials

Математичні Студії
This paper investigates the structure and properties of block-symmetric and block-super\-symmetric polynomials in Banach spaces. The study extends classical symmetric polynomial results to infinite-dimensional settings, particularly in sequence spaces ...
V. V. Kravtsiv, P. Y. Dolishniak, R. Y. Stakhiv   +2 more
doaj   +1 more source

Symmetric truncated Freud polynomials

Journal of Computational and Applied Mathematics
We define the family of symmetric truncated Freud polynomials $P_n(x;z)$, orthogonal with respect to the linear functional $\mathbf{u}$ defined by \begin{equation*} \langle \mathbf{u}, p(x)\rangle = \int_{-z}^z p(x)e^{-x^4}dx, \quad p\in \mathbb{P}, \quad z>0. \end{equation*} The semiclassical character of $P_n (x; z)$ as polynomials of class $4$ is
Huertas Cejudo, Edmundo José, Lastra Sedano, Alberto, Marcellán, Francisco, Soto Larrosa, Victor   +3 more
openaire   +2 more sources

$m$-Symmetric functions, non-symmetric Macdonald polynomials and positivity conjectures

, 2022
We study the space, $R_m$, of $m$-symmetric functions consisting of polynomials that are symmetric in the variables $x_{m+1},x_{m+2},x_{m+3},\dots$ but have no special symmetry in the variables $x_1,\dots,x_m$.
Lapointe, Luc
core  

Field‐Frustrated Cooperative Distortions: Suppressing Jahn‐Teller Ordering via Microwave Annealing

Advanced Science, EarlyView.
Microwave annealing decouples local Jahn‐Teller distortions from long‐range cooperative ordering in CuFe2O4, stabilizing a metastable cubic phase that remains locally distorted yet globally symmetry‐frustrated. Synchrotron XRD, PDF, XPS, and in situ thermal cycling reveal how non‐equilibrium MW‐phonon interactions suppress cooperative orbital‐lattice ...
Daryoosh Vashaee, Kelvin Dsouza
wiley   +1 more source

Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type

Symmetry, Integrability and Geometry: Methods and Applications, 2012
We introduce and study natural generalisations of the Hermite and Laguerre polynomials in the ring of symmetric functions as eigenfunctions of infinite-dimensional analogues of partial differential operators of Calogero-Moser-Sutherland (CMS) type.
Patrick Desrosiers, Martin Hallnäs
doaj   +1 more source

Generating functions and short recursions, with applications to the moments of quadratic forms in noncentral normal vectors [PDF]

Using generating functions, the top-order zonal polynomials that occur in much distribution theory under normality can be recursively related to other symmetric functions (power-sum and elementary symmetric functions, Ruben, Hillier, Kan, and Wang ...
Grant Hillier, Xiaolu Wang, Raymond Kan
core  

Interacting Parallel Fluidic Hysterons

Advanced Science, EarlyView.
The parallel coupling of fluidic hysterons is introduced, establishing advanced functionalities in inflatable soft systems. A pressure–volume framework reveals how preset volumes Δv∗${\Delta }v^*$ tune nonlinear interactions between hysterons and actuation sequences without changing architecture. Experiments validate the predictions, opening new routes
Katrien Stinissen, Franco Nicolas Piñan Basualdo, Benjamin Gorissen   +2 more
wiley   +1 more source

Reducibility of symmetric polynomials

, 2014
This thesis investigates the reducibility of trivariate homogeneous symmetric polynomials. For polynomials of degrees 2, 3, 4 and 5 we have complete results.
Reynoso, Eduardo Yovany
core   +1 more source

Faber Polynomials for m-Fold Symmetric Domains

, 1994
The Faber polynomials for a region of the complex plane are of interest as a basis for polynomial approximations to analytic functions. In this paper we study the Faber polynomials associated with m-fold symmetric domains.
He, Matthew
core   +1 more source

Liquid Metals in Radio Frequency Applications: A Review of Physics, Manufacturing, and Emerging Technologies

Advanced Electronic Materials, EarlyView.
This paper reviews the physics of liquid metals in RF devices, including the influence of mechanical strain on resonance as well as fabrication methods and strategies for designing tunable and strain‐tolerant inductors, capacitors, and antennas.
Md Saifur Rahman, William J. Scheideler
wiley   +1 more source