Results 51 to 60 of about 155,769 (214)

A New Generalization of Legendre-Based Appell Polynomials with Two Parameters and Their Applications

Axioms
In the present work, we introduce and study a new two-parameter generalization of Legendre-based Appell polynomials, defined through an explicit representation that unifies classical Legendre structures with the Appell polynomial framework. Starting from
Ghaliah Alhamzi, Georgia Irina Oros, Mdi Begum Jeelani, Kalika Prasad, Shahid Ahmad Wani   +4 more
doaj   +1 more source

DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER WITH ORTHOGONAL POLYNOMIAL SOLUTIONS

Pesquimat, 2014
In this paper we developed conditions for orthogonality of polynomial Solutions of the fourth order differential equations with polynomial coefficients.
Santiago César Rojas Romero
doaj   +1 more source

Accurate Evaluation of Polynomials in Legendre Basis [PDF]

Journal of Applied Mathematics, 2014
This paper presents a compensated algorithm for accurate evaluation of a polynomial in Legendre basis. Since the coefficients of the evaluated polynomial are fractions, we propose to store these coefficients in two floating point numbers, such as double-double format, to reduce the effect of the coefficients’ perturbation.
Peibing Du, Hao Jiang 0001, Lizhi Cheng
openaire   +4 more sources

Non‐Invasive Smart Pressure Sensor for Early‐Stage Thermal Runaway Warning for Cylindrical Batteries

Small, EarlyView.
A smart pressure sensor based on shape memory sensing composite is introduced, which enables conformal contact with cylindrical batteries and can continuously monitor the lateral pressure caused by volume expansion during charging‐discharging. This smart sensor features impressive stability, recoverability and a broad pressure detection range.
Yi Liu, Ang Wang, Yingying Xu, Yaobo Wu, Shaohua Yang, Youyun Zou, Xinyu Wang, Yuqi Huang, Zongrong Wang, Shaoxing Qu   +9 more
wiley   +1 more source

Polynomial‐shaped electrodes for adaptive X‐ray optics

Journal of Synchrotron Radiation, EarlyView.
A shaped electrode design for lithium niobate adaptive X‐ray mirrors connects actuator degrees of freedom to specific polynomial orders, enabling general shape control and the correction of defocus, coma and fourth‐order aberrations with a limited number of inputs.For adaptive mirrors on X‐ray beamlines and optical systems, we describe a strategy for ...
Kenneth A. Goldberg, Francesco Marzari, Grant D. Cutler   +2 more
wiley   +1 more source

Legendre Polynomials and Angular Momentum

, 2006
An introduction to Legendre polynomials as precursor to studying angular momentum in quantum ...
David, Carl W
core   +1 more source

Option pricing with Legendre polynomials

Journal of Computational and Applied Mathematics, 2017
Here we develop an option pricing method based on Legendre series expansion of the density function. The key insight, relying on the close relation of the characteristic function with the series coefficients, allows to recover the density function rapidly and accurately. Based on this representation for the density function, approximations formulas for
Julien Hok, Tat Lung (Ron) Chan
openaire   +4 more sources

Time‐resolved coherent X‐ray scattering analysis of nanorod colloids: dynamics and photon‐statistical effects in angular X‐ray cross‐correlation analysis

Journal of Synchrotron Radiation, EarlyView.
A statistical framework combining angular X‐ray cross‐correlation analysis, principal component analysis and photon‐counting simulations is presented for evaluating the detectability of orientational fluctuations in time‐resolved coherent X‐ray scattering experiments.Understanding the dynamic fluctuations of anisotropic particles is essential for ...
Taiki Hoshino, Yoshifumi Amamoto, Takahiro Mikami, Yoshiaki Honjo, Kyosuke Ozaki, Toshiyuki Nishiyama Hiraki, Haruki Nishino, Yasumasa Joti, Takaki Hatsui, Yoshiki Kohmura, Takashi Kato   +10 more
wiley   +1 more source

Polar Plots of Legendre Polynomials

, 2011
Show Legendre polynomials in polar coordinatesComponente Curricular::Educação Superior::Ciências Exatas e da Terra ...
Wolfram, Stephen
core   +1 more source

Extended forms of Legendre-Laguerre-based hybrid polynomials and their characteristics via fractional operator approach

Journal of Inequalities and Applications
This study presents an extensive generalization of Legendre–Laguerre polynomials along with their Appell-type counterparts. Using the quasi-monomiality approach, we establish core analytical features, including recurrence relations, associated ...
Waseem Ahmad Khan, Shahid Ahmad Wani, Mohammad Ayman-Mursaleen, Ketan Kotecha, Prakash Jadhav   +4 more
doaj   +1 more source