Results 141 to 150 of about 5,765 (234)

Generating functions of Legendre polynomials: A tribute to Fred Brafman

, 2012
In 1951, Brafman derived several “unusual” generating functions of classical orthogonal polynomials, in particular, of Legendre polynomials Pn(x). His result was a consequence of Bailey’s identity for a special case of Appell’s hypergeometric function of
Zudilin, Wadim, Zudilin, W. ; https://orcid.org/, Wan, J., Wan, James   +3 more
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  

Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction

Symmetry, Integrability and Geometry: Methods and Applications, 2007
We study a family of the Laurent biorthogonal polynomials arising from the Hermite continued fraction for a ratio of two complete elliptic integrals. Recurrence coefficients, explicit expression and the weight function for these polynomials are obtained.
Luc Vinet, Alexei Zhedanov
doaj  

On the Galois Group of Legendre polynomials

, 2016
La presente monografía está basada en el artículo On the Galois groups of Legendre polynomials de John Cullinan y Garshid Hajir y pretende estudiar algunas propiedades algebraicas que los autores utilizan para ver cuál es el grupo de Galois de los ...
Manta Caro, Cristin Julieth
core  

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

Predicting Longitudinal Traits Derived from High-Throughput Phenomics in Contrasting Environments Using Genomic Legendre Polynomials and B-Splines. [PDF]

G3 (Bethesda), 2019
Momen M, Campbell MT, Walia H, Morota G.
europepmc   +1 more source

COMPACTLY SUPPORTED WAVELETS DERIVED FROM LEGENDRE POLYNOMIALS: SPHERICAL HARMONIC WAVELETS

, 2015
: A new family of wavelets is introduced, which is associated with Legendre polynomials. These wavelets, termed spherical harmonic or Legendre wavelets, possess compact support.
H. M. De Oliveira, R. M. C. De Souza, M. M. S. Lira, M. A. Carvalho   +3 more
core  

Integrals of Legendre polynomials and approximations

CoRR
We derive some identities and relations and extremal problems and minimization and Fourier development involving of integral Legendre polynomials.
openaire   +2 more sources

Legendre Polynomials, Dipole Moments, Generating Functions, etc..

, 2007
A standard treatment of aspects of Legendre polynomials is treated here, including the dipole moment expansion, generating functions, etc.
David, Carl W
core