Results 81 to 90 of about 525,666 (282)
Context-Free Grammars for Several Triangular Arrays
Axioms, 2022 In this paper, we present a unified grammatical interpretation of the numbers that satisfy a kind of four-term recurrence relation, including the Bell triangle, the coefficients of modified Hermite polynomials, and the Bessel polynomials.
Roberta Rui Zhou, Jean Yeh, Fuquan Ren
doaj +1 more source
Efficient Simulation of Open Quantum Systems on NISQ Trapped‐Ion Hardware
Advanced Quantum Technologies, EarlyView.Open quantum systems exhibit rich dynamics that can be simulated efficiently on quantum computers, allowing us to learn more about their behavior. This work applies a new method to simulate certain open quantum systems on noisy trapped‐ion quantum hardware.
Colin Burdine +3 more
wiley +1 more source
Bessel Type Orthogonality For Hermite Polynomials [PDF]
arXiv, 2020 It is shown that Hermite polynomials satisfy a Bessel type orthogonality relation, based on the zeros of a single index Hermite polynomial and with a finite integration interval. Because of the role of non-symmetric zeros in the final relation, its applicability covers Hermite polynomials $P_n(x)$ with $n\ge 3$.
arxiv
Regular subspaces of a quaternionic Hilbert space from quaternionic Hermite polynomials and associated coherent states [PDF]
, 2012 We define quaternionic Hermite polynomials by analogy with two families of complex Hermite polynomials. As in the complex case, these polynomials consatitute orthogonal families of vectors in ambient quaternionic $L^2$-spaces. Using these polynomials, we then define regular and anti-regular subspaces of these $L^2$-spaces, the associated reproducing ...
arxiv +1 more source
Certain properties and characterizations of a novel family of bivariate 2D-q Hermite polynomials
Open MathematicsThis study presents a novel family of bivariate 2D-qq Hermite polynomials. We derive explicit forms and qq-partial differential equations and investigate numerical aspects associated with these polynomials.
Wani Shahid Ahmad +2 more
doaj +1 more source
On the hermite matrix of a polynomial
Linear Algebra and its Applications, 1971 AbstractWe investigate the location of the eigenvalues of the Hermite matrix of a given complex polynomial, the question under what conditions a given polynomial and the characteristic polynomial of its Hermite matrix are identical, and the question under what conditions the Hermite matrix has only one distinct eigenvalue.
openaire +2 more sources
Wildlife Biology, EarlyView.We compared population trends for rock ptarmigan Lagopus muta densities (2003‒2019) derived from walked transects and driven road transects in Mosfellsheiði and Slétta in southwest and northeast Iceland, respectively. The walked transects were laid out according to a random rule.
Matteo Ferrarini, Ólafur K. Nielsen
wiley +1 more source
Finite sums and generalized forms of Bernoulli polynomials [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1999 We introduce new classes of Bernoulli polynomials, useful to evaluate partial sums of Hermite and Laguerre polynomials. We also comment on the possibility of extending the class of Bernoulli numbers itself, and indicate their importance in the derivation
G. Dattoli, S. Lorenzutta, C. Cesarano
doaj
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract This paper introduces the generalized Hausman test as a novel method for detecting the non‐normality of the latent variable distribution of the unidimensional latent trait model for binary data. The test utilizes the pairwise maximum likelihood estimator for the parameters of the latent trait model, which assumes normality of the latent ...
Lucia Guastadisegni +3 more
wiley +1 more source
On the complex Hermite polynomials
Filomat, 2020 In this paper we use a set of partial differential equations to prove an expansion theorem for multiple complex Hermite polynomials. This expansion theorem allows us to develop a systematic and completely new approach to the complex Hermite polynomials.
openaire +2 more sources