Results 111 to 120 of about 49,043 (210)

Determinant inequalities for sieved ultraspherical polynomials

International Journal of Mathematics and Mathematical Sciences, 2001
Paul Turan first observed that the Legendre polynomials satisfy the inequality Pn2(x)−Pn−1(x)Pn(x)>0 ...
J. Bustoz, I. S. Pyung
doaj   +1 more source

On Convoluted Forms of Multivariate Legendre-Hermite Polynomials with Algebraic Matrix Based Approach

Mathematics
The main purpose of this article is to construct a new class of multivariate Legendre-Hermite-Apostol type Frobenius-Euler polynomials. A number of significant analytical characterizations of these polynomials using various generating function techniques
Mumtaz Riyasat, Amal S. Alali, Shahid Ahmad Wani, Subuhi Khan   +3 more
doaj   +1 more source

Adaptive back-stepping cancer control using Legendre polynomials. [PDF]

IET Syst Biol, 2020
Khorashadizadeh S, Akbarzadeh Kalat A.
europepmc   +1 more source

A numerical solution by alternative Legendre polynomials on a model for novel coronavirus (COVID-19). [PDF]

Adv Differ Equ, 2020
Hashemizadeh E, Ebadi MA.
europepmc   +1 more source

Impact of the Order of Legendre Polynomials in Random Regression Model on Genetic Evaluation for Milk Yield in Dairy Cattle Population. [PDF]

Front Genet, 2020
Li J, Gao H, Madsen P, Li R, Liu W, Bao P, Xue G, Gao Y, Di X, Su G.   +9 more
europepmc   +1 more source

New spectral element method for the singular perturbation problem of second order

上海师范大学学报. 自然科学版
As the solution of singular perturbation problem of second order has a boundary layer, it is difficult to obtain ideal approximation results for traditional numerical methods.
LIU Zhipeng, TAO Dongya
doaj   +1 more source

Addition formulas for q-special functions

, 1995
A general addition formula for a two-parameter family of Askey-Wilson polynomials is derived from the quantum $SU(2)$ group theoretic interpretation. This formula contains most of the previously known addition formulas for $q$-Legendre polynomials as ...
Koelink, Erik
core   +1 more source

Chained-Function Filter Synthesis Based on the Modified Jacobi Polynomials [PDF]

Radioengineering, 2018
A new class of filter functions with pass-band ripple which derives its origin from a method of determining the chained function lowpass filters described by Guglielmi and Connor is introduced.
G. Perenic, N. Stamenkovic, N. Stojanovic, N. Denic   +3 more
doaj  

An Error Analysis Study for the Distributed-Order Time-Fraction Model Using an Efficient Numerical Method

Fractal and Fractional
In this paper, we propose a numerical scheme based on the shifted Legendre polynomials for solving the forced Korteweg–de Vries (fKdV) equation including a Caputo fractional operator of a distributed order. To obtain numerical solutions of these types of
Saeed Kosari, Hao Guan, MohammadHossein Derakhshan   +2 more
doaj   +1 more source

On the Collocation Method in Constructing a Solution to the Volterra Integral Equation of the Second Kind Using Chebyshev and Legendre Polynomials

Известия Иркутского государственного университета: Серия "Математика"
The paper proposes a matrix implementation of the collocation method for constructing a solution to Volterra integral equations of the second kind using systems of orthogonal Chebyshev polynomials of the first kind and Legendre polynomials. The integrand
O.V. Germider, V. N. Popov
doaj   +1 more source