Results 131 to 140 of about 235,552 (326)
The Bernoulli polynomials for natural x were first considered by J.Berno\-ulli (1713) in connection with the problem of summation of the powers of consecutive positive integers. For arbitrary $x$ these polynomials were studied by L.Euler.
O. Shishkina
doaj
Magnetic doping of the topological insulator Bi2Te3 with erbium adatoms induces out‐of‐plane magnetism and breaks time‐reversal symmetry, opening a Dirac gap and driving a Fermi surface transition from hexagonal to star‐of‐David geometry. Microscopy, spectroscopy, and magnetic dichroism reveal atomically controlled magnetic interactions that tailor the
Beatriz Muñiz Cano +18 more
wiley +1 more source
A new class of degenerate unified Bernoulli-Euler Hermite polynomials of Apostol type
In this paper, we consider a new class of degenerate unified Bernoulli-Euler Hermite polynomials of Apostol type, denoted by $ \mathcal{W}^{(\alpha)}_{n, \lambda}(\delta, \zeta; \rho; \mu) $.
Ugur Duran +3 more
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Computation of Difference Grobner Bases [PDF]
This paper is an updated and extended version of our note \cite{GR'06} (cf.\ also \cite{GR-ACAT}). To compute difference \Gr bases of ideals generated by linear polynomials we adopt to difference polynomial rings the involutive algorithm based on Janet ...
Vladimir P. Gerdt, Daniel Robertz
doaj
Generalized homogeneous q-difference equations for q-polynomials and their applications to generating functions and fractional q-integrals [PDF]
Jian Cao, Hong-Li Zhou, Sama Arjika
openalex +1 more source
Chiral Acoustic Phonon and Conservation of Pseudoangular Momentum in α‐Quartz
Chiral acoustic phonons in α‐quartz are probed via Brillouin light scattering, exploiting the photon's helicity and the crystal's handedness. The interaction obeys a selection rule arising from pseudoangular momentum conservation, enabling direct optical access to phonon chirality in nonsymmorphic crystals.
Changsoo Kim +8 more
wiley +1 more source
This study reports the first discovery of intrinsic mechanoluminescence in undoped AlN crystals, accompanied by pronounced photoluminescence and persistent luminescence. It further demonstrates a defect‐emission–driven multifunctional optical sensing platform for force, pressure, and temperature detection, achieving exceptional sensitivities.
Teng Zheng +11 more
wiley +1 more source
Soft and Strong: Elastic Conductors with Bio‐Inspired Self‐Protection
A general reverse‐engineering approach is demonstrated for designing functional yarns that uses woven fabric architecture as a structural framework. The fabric‐based stretchable conductive yarns combine flexibility, high elasticity, low stiffness, self‐protection, and weavability with conventional textile processes. By fine‐tuning the number of elastic
Chenglong Zhang +12 more
wiley +1 more source
Non-polynomial Spline Difference Schemes for Solving Second-order Hyperbolic Equations [PDF]
Li‐Bin Liu, Yong Zhang, Huai-Huo Cao
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UNIQUENESS OF DIFFERENCE DIFFERENTIAL POLYNOMIALS OF L-FUNCTIONS CONCERNING WEIGHTED SHARING [PDF]
Nintu Mandal, Nirmal Kumar Datta
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