Results 101 to 110 of about 525,666 (282)
A New Generating Function for Hermite Polynomials
International Journal of Mathematics and Mathematical SciencesThis paper presents a new generating function of the form gx,t=∑n=0∞tnHnex for Hermite polynomials and reveals its connection with the incomplete gamma function.
Manouchehr Amiri
doaj +1 more source
DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER WITH ORTHOGONAL POLYNOMIAL SOLUTIONS
Pesquimat, 2014 In this paper we developed conditions for orthogonality of polynomial Solutions of the fourth order differential equations with polynomial coefficients.
Santiago César Rojas Romero
doaj +1 more source
Multiple Changepoint Detection for Non‐Gaussian Time Series
Journal of Time Series Analysis, EarlyView.ABSTRACT This article combines methods from existing techniques to identify multiple changepoints in non‐Gaussian autocorrelated time series. A transformation is used to convert a Gaussian series into a non‐Gaussian series, enabling penalized likelihood methods to handle non‐Gaussian scenarios.
Robert Lund +3 more
wiley +1 more source
D-Pseudo-Bosons, Complex Hermite Polynomials, and Integral Quantization [PDF]
, 2015 TheD-pseudo-boson formalism is illustrated with two examples. The first one involves deformed complex Hermite polynomials built using finite-dimensional irreducible representations of the group GL(2;C) of invertible 2 2 matrices with complex entries.
S. T. Ali, F. Bagarello, J. Gazeau
semanticscholar +1 more source
A unifying class of compound Poisson integer‐valued ARMA and GARCH models
Scandinavian Journal of Statistics, EarlyView.Abstract INAR (integer‐valued autoregressive) and INGARCH (integer‐valued GARCH) models are among the most commonly employed approaches for count time series modeling, but have been studied in largely distinct strands of literature. In this paper, a new class of generalized integer‐valued ARMA (GINARMA) models is introduced which unifies a large number
Johannes Bracher, Barbora Němcová
wiley +1 more source
Hermite trace polynomials and chaos decompositions for the Hermitian Brownian motion [PDF]
arXiv, 2022 For a non-zero parameter $q$, we define Hermite trace polynomials, which are multivariate polynomials indexed by permutations. We prove several combinatorial properties for them, such as expansions and product formulas. The linear functional determined by these trace polynomials is a state for $q = \frac{1}{N}$ for $N$ a non-zero integer. For such $q$,
arxiv
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley +1 more source
On integrals involving Hermite polynomials [PDF]
arXiv, 2011 We show how the combined use of the generating function method and of the theory of multivariable Hermite polynomials is naturally suited to evaluate integrals of gaussian functions and of multiple products of Hermite polynomials.
arxiv
On a generalization of Hermite polynomials
Journal of Functional Analysis, 2014 Abstract We consider a new generalization of Hermite polynomials to the case of several variables. Our construction is based on an analysis of the generalized eigenvalue problem for the operator ∂ A x + D , acting on a linear space of polynomials of N variables, where A is an endomorphism of the Euclidean space R N and
Piotr Krasoń, Jan Milewski
openaire +2 more sources
Recurrence relations for exceptional Hermite polynomials [PDF]
Journal of Approximation Theory, 2016 The bispectral anti-isomorphism is applied to differential operators involving elements of the stabilizer ring to produce explicit formulas for all difference operators having any of the Hermite exceptional orthogonal polynomials as eigenfunctions with eigenvalues that are polynomials in $x$.
Robert Milson +4 more
openaire +4 more sources