Results 71 to 80 of about 19,826 (260)

On a class of generalized Laguerre's polynomials [PDF]

Časopis pro pěstování matematiky, 1988
This paper deals with polynomials \(L_ n(x)\) orthonormal with respect to the weight function \(| x|^{2\alpha}(b+x)^{\beta}e^{-x}\) on \((a,+\infty)\), \(a\leq 0\), \(\alpha >0\), \(\beta >0\) and \(b+a>0\). The author uses techniques already known to \textit{J. A. Shohat} [Duke Math. J. 5, 401-417 (1939; Zbl 0021.30802)] to show that the coefficients \
openaire   +1 more source

On a family of q-modified-Laguerre-Appell polynomials

Arab Journal of Basic and Applied Sciences
This paper aims to introduce a new class of special polynomials called q-modified Laguerre-Appell polynomials. Some definitions and concepts related to this class of polynomials, including generating function and series definition are explored.
Mohammed Fadel, Abdulghani Muhyi
doaj   +1 more source

A note on the magnetic Steklov operator on functions

Mathematika, Volume 71, Issue 4, October 2025.
Abstract We consider the magnetic Steklov eigenvalue problem on compact Riemannian manifolds with boundary for generic magnetic potentials and establish various results concerning the spectrum. We provide equivalent characterizations of magnetic Steklov operators which are unitarily equivalent to the classical Steklov operator and study bounds for the ...
Tirumala Chakradhar, Katie Gittins, Georges Habib, Norbert Peyerimhoff   +3 more
wiley   +1 more source

Graph presentations for moments of noncentral Wishart distributions and their applications

, 2010
We provide formulas for the moments of the real and complex noncentral Wishart distributions of general degrees. The obtained formulas for the real and complex cases are described in terms of the undirected and directed graphs, respectively.
Kuriki, Satoshi, Numata, Yasuhide
core   +2 more sources

Robust and Efficient FFT‐Based Solvers for Unit‐Cell Problems With Voids and Pores Under Displacement Boundary Conditions

International Journal for Numerical Methods in Engineering, Volume 126, Issue 18, 30 September 2025.
ABSTRACT There is a variety of microstructured materials that involve voids and pores, for example, high‐porosity foams, mechanical metamaterials, or composites involving defects due to damage and cracking, respectively. Computational methods based on the fast Fourier transform (FFT) typically face convergence problems for such microstructures unless ...
Lennart Risthaus, Matti Schneider
wiley   +1 more source

A Modified Generalized Laguerre-Gauss Collocation Method for Fractional Neutral Functional-Differential Equations on the Half-Line

Abstract and Applied Analysis, 2014
The modified generalized Laguerre-Gauss collocation (MGLC) method is applied to obtain an approximate solution of fractional neutral functional-differential equations with proportional delays on the half-line.
Ali H. Bhrawy, Abdulrahim AlZahrani, Dumitru Baleanu, Yahia Alhamed   +3 more
doaj   +1 more source

On Some Relations between the Hermite Polynomials and Some Well-Known Classical Polynomials and the Hypergeometric Function.

مجلة العلوم البحتة والتطبيقية, 2020
The connection between different classes of special functions is a very important aspect in establishing new properties of the related classical functions that is they can inherit the properties of each other. Here we show how the Hermite polynomials are
Haniyah Saed Ben Hamdin
doaj   +1 more source

Irreducibility of generalized Hermite-Laguerre Polynomials III

, 2016
For a positive integer $n$ and a real number $\alpha$, the generalized Laguerre polynomials are defined by \begin{align*} L^{(\alpha)}_n(x)=\sum^n_{j=0}\frac{(n+\alpha)(n-1+\alpha)\cdots (j+1+\alpha)(-x)^j}{j!(n-j)!}.
Laishram, Shanta, Shorey, Tarlok
core   +1 more source

Beyond Randomization: Design and Analysis of Discrete Choice Experiments in the Presence of Profile Order Effects Within Choice Sets

Applied Stochastic Models in Business and Industry, Volume 41, Issue 5, September/October 2025.
ABSTRACT Discrete Choice Experiments (DCEs) investigate the attributes that affect individual choices among different options and are widely applied across numerous fields. Past DCEs provide clear evidence that the presentation order of the profiles within a choice set can impact the respondents' choices.
Yicheng Mao, Roselinde Kessels, Robert Mee   +2 more
wiley   +1 more source

Extended Laguerre Polynomials Associated with Hermite, Bernoulli, and Euler Numbers and Polynomials

Abstract and Applied Analysis, 2012
Let Pn={p(x)∈ℝ[x]∣deg  p(x)≤n} be an inner product space with the inner product 〈p(x),q(x)〉=∫0∞xαe-xp(x)q(x)dx, where p(x),q(x)∈Pn and α∈ℝ with α>-1. In this paper we study the properties of the extended Laguerre polynomials which are an orthogonal basis
Taekyun Kim, Dae San Kim
doaj   +1 more source