Results 121 to 130 of about 516,382 (294)

Meshless Local Petrov-Galerkin (MLPG) Method with Orthogonal Polynomials for Euler-Bernoulli Beam Problems [PDF]

In this paper, the feasibility of orthogonal polynomials in the meshless local Petrov Galerkin method (MLPG) method is studied. The orthogonal polynomials, Chebyshev and Legendre polynomials, are used in this MLPG method as trial functions.
Raju, Ivatury S.
core   +1 more source

Bounds for Two New Subclasses of Bi-Univalent Functions Associated with Legendre Polynomials [PDF]

, 2021
A. Y. Lashin, Abeer O. Badghaish, Amani Z. Bajamal   +2 more
openalex   +1 more source

Notes on Legendre polynomials [PDF]

Bulletin of the American Mathematical Society, 1945
Not ...
openaire   +3 more sources

Expressions of Legendre polynomials through Bernoulli polynomials

Revista Técnica de la Facultad de Ingeniería, 2011
A formula for expanding Legendre polynomials in Bernoulli polynomials is considered. The relationship is established by using a formula of finite summation, obtained by applying the discrete orthogonal relation of the modified Lommel polynomials.
Vu Kim Tuan, Nguyen Thi Tinh
doaj  

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

A Block Procedure with Linear Multi-Step Methods Using Legendre Polynomials for Solving ODEs

, 2015
In this article, we derive a block procedure for some K-step linear multi-step methods (for K = 1, 2 and 3), using Legendre polynomials as the basis functions.
K. M. Abualnaja
semanticscholar   +1 more source

A simple proof of Koornwinder’s addition formula for the little 𝑞-Legendre polynomials [PDF]

, 1989
Mizan Rahman
openalex   +1 more source

Legendre Polynomials Operational Matrix Method for Solving Fractional Partial Differential Equations with Variable Coefficients

, 2015
A numerical method for solving a class of fractional partial differential equations with variable coefficients based on Legendre polynomials is proposed. A fractional order operational matrix of Legendre polynomials is also derived. The initial equations
Yongqiang Yang, Yunpeng Ma, Lifeng Wang
semanticscholar   +1 more source

Using shifted Legendre orthonormal polynomials for solving fractional optimal control problems

, 2022
Razieh Naseri, Aghileh Heydari, Amir Saboor Bagherzadeh   +2 more
openalex   +2 more sources

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