Results 41 to 50 of about 49,043 (210)

Strong oscillations of cumulants of photon distribution function in slightly squeezed states [PDF]

, 1994
The cumulants and factorial moments of photon distribution for squeezed and correlated light are calculated in terms of Chebyshev, Legendre and Laguerre polynomials.
Agarwal, Agarwal, Ansari, Artoni, Bialas, Bužek, Caves, Chaturvedi, DeWolf, Dodonov, Dodonov, Dodonov, Dodonov, Dodonov, Dodonov, Dodonov, Dremin, Dremin, Dremin, Glauber, Hollenhorst, I.M. Dremin, Klauder, Marian, P.G. Polynkin, Perina, Schleich, Shrade, Stoler, Sudarshan, V.I. Man'ko, V.V. Dodonov, Vourdas, Vourdas, Yuen, Yurke   +35 more
core   +2 more sources

Topological Point Defects in SmC* Liquid Crystals Under Mechanical Disturbance

Advanced Materials Interfaces, EarlyView.
Tangetial air jet shear inducess island formation and nucleates topological point defects in uniform SmC films. Island bounded by edge dislocation loops shrink and transform into isolated point defects under continued shear. Mechanical perturbatio provides a controllable route for defect engineering in smectric liquid crystal thin films.
Gunganist Kongklad, Vandana Molahalli, Apichart Pattanaporkratana, Nattaporn Chattham   +3 more
wiley   +1 more source

Numerical analysis of stochastic SIR model by Legendre spectral collocation method

Advances in Mechanical Engineering, 2019
This article represents Legendre spectral collocation method based on Legendre polynomials to solve a stochastic Susceptible, infected, Recovered (SIR) model.
Sami Ullah Khan, Ishtiaq Ali
doaj   +1 more source

Numerical solutions for fractional optimal control problems using Mü‎‎‎‎‎‎‎ntz-Legendre polynomials [PDF]

Journal of Mahani Mathematical Research
This study introduces a novel method using the Müntz-Legendre polynomials for numerically solving fractional optimal control problems. Utilizing the unique properties of Müntz-Legendre polynomials when dealing with fractional operators, these polynomials
Mohammad Sahabi, Allahbakhsh Yazdani Cherati   +1 more
doaj   +1 more source

Fast and accurate fitting and filtering of noisy exponentials in Legendre space. [PDF]

PLoS ONE, 2014
The parameters of experimentally obtained exponentials are usually found by least-squares fitting methods. Essentially, this is done by minimizing the mean squares sum of the differences between the data, most often a function of time, and a parameter ...
Guobin Bao, Detlev Schild
doaj   +1 more source

Polynomially Interpolated Legendre Multiplier Sequences [PDF]

Computational Methods and Function Theory, 2017
We prove that every multiplier sequence for the Legendre basis which can be interpolated by a polynomial has the form $\{h(k^2+k)\}_{k=0}^{\infty}$, where $h\in\mathbb{R}[x]$. We also prove that a non-trivial collection of polynomials of a certain form interpolate multiplier sequences for the Legendre basis, and we state conjectures on how to extend ...
Chasse, Matthew, Forgács, Tamás, Piotrowski, Andrzej   +2 more
openaire   +2 more sources

Enhanced High Dimensionality and the Information Processing Capacity in Interfered Spin Wave‐Based Reservoir Computing, Achieved With Eight Detectors

Advanced Electronic Materials, EarlyView.
Physical reservoir computing (PRC) based on spin wave interference has demonstrated high computational performance, yet room for improvement remains. In this study, we fabricated this concept PRC with eight detectors and evaluated the impact of the number of detectors using a chaotic time series prediction task.
Sota Hikasa, Wataru Namiki, Daiki Nishioka, Maki Nishimura, Ryo Iguchi, Kazuya Terabe, Takashi Tsuchiya   +6 more
wiley   +1 more source

Left- and Right-Shifted Fractional Legendre Functions with an Application for Fractional Differential Equations

Advances in Mathematical Physics, 2020
Two new orthogonal functions named the left- and the right-shifted fractional-order Legendre polynomials (SFLPs) are proposed. Several useful formulas for the SFLPs are directly generalized from the classic Legendre polynomials.
Haidong Qu, Xiaopeng Yang, Zihang She
doaj   +1 more source

CFD modeling and sensitivity‐guided design of silicon filament CVD reactors

AIChE Journal, EarlyView.
Abstract Filament‐based chemical vapor deposition (CVD) for silicon (Si) coatings is often treated as an adaptation of planar deposition. But this overlooks fundamental shifts in transport phenomena and reaction kinetics. In filament CVD, the filament acts as a substrate, heat source, and flow disruptor simultaneously. In this work, we ask: What really
G. P. Gakis, G. Loachamín‐Suntaxi, I. G. Aviziotis, E. D. Koronaki, P. P. Filippatos, G. Chatzigiannakis, S. P. A. Bordas, D. Davazoglou, A. G. Boudouvis   +8 more
wiley   +1 more source

Insights into New Generalization of q-Legendre-Based Appell Polynomials: Properties and Quasi Monomiality

Mathematics
In this paper, by using the zeroth-order q-Tricomi functions, the theory of three-variable q-Legendre-based Appell polynomials is introduced.
Naeem Ahmad, Waseem Ahmad Khan
doaj   +1 more source