Results 101 to 110 of about 155,769 (214)

Certain generating funtion of generalized Apostol type Legendre-based polynomials [PDF]

, 2018
In this paper, we aim to introduce a generating function for generalized Apostol type Legendre-Based polynomials which extends some known results. We also deduce some properties of the generalized Apostol-Bernoulli polynomials, the generalized Apostol ...
Aman, M., Usman, T., Khan, N.U.
core   +1 more source

Plots of Legendre Polynomials

, 2011
Plot the Legendre polynomials, which appear in many mathematical problems, notably those involving systems with circular symmetryComponente Curricular::Educação Superior::Ciências Exatas e da Terra ...
Wolfram, Stephen
core   +1 more source

The eigenvalues of one-speed neutrons in a slab with forward and backward scattering

Tehnički Glasnik, 2019
The eigenvalue spectrum is studied for one-speed neutrons in a slab with forward and backward scattering. First, the transport equation describing the interaction of neutrons in a system with general geometry is given.
Ökkeş Ege, Hakan Öztürk
doaj   +1 more source

Representing by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials

Advances in Difference Equations, 2019
In this paper, we investigate sums of finite products of Chebyshev polynomials of the first kind and those of Lucas polynomials. We express each of them as linear combinations of Hermite, extended Laguerre, Legendre, Gegenbauer, and Jacobi polynomials ...
Taekyun Kim, Dae San Kim, Lee-Chae Jang, D. V. Dolgy   +3 more
doaj   +1 more source

Connection Problem for Sums of Finite Products of Legendre and Laguerre Polynomials

, 2019
The purpose of this paper is to represent sums of finite products of Legendre and Laguerre polynomials in terms of several orthogonal polynomials. Indeed, by explicit computations we express each of them as linear combinations of Hermite, generalized ...
Dmitry V. Dolgy, Dae San Kim, Taekyun Kim, Kyung-Won Hwang   +3 more
core   +1 more source

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

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   +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

Plots of Legendre Polynomials

, 2014
Plot the Legendre polynomials, which appear in many mathematical problems, notably those involving systems with circular symmetryComponente Curricular::Educação Superior::Ciências Exatas e da Terra ...
Wolfram, Stephen
core