Results 51 to 60 of about 32,202 (209)

ARBITRARY-ORDER HERMITE GENERATING FUNCTIONS FOR COHERENT AND SQUEEZED STATES [PDF]

, 1995
For use in calculating higher-order coherent- and squeezed- state quantities, we derive generalized generating functions for the Hermite polynomials. They are given by $\sum_{n=0}^{\infty}z^{jn+k}H_{jn+k}(x)/(jn+k)!$, for arbitrary integers $j\geq 1$ and
Brandt, D'Ariano, D'Ariano, D'Ariano, D.Rodney Truax, Dodonov, Fisher, Hansen, Kalnins, Kato, Katriel, Katriel, Katriel, Katriel, Magnus, Michael Martin Nieto, Nieto, Wilf   +17 more
core   +2 more sources

Camera traps and deep learning enable efficient large‐scale density estimation of wildlife in temperate forest ecosystems

Remote Sensing in Ecology and Conservation, EarlyView.
We tested the effect of using a readily available deep learning algorithm for animal species classification on the population density estimates of eight wild mammal species in 10 protected areas (Da). In general, there were no significant differences to the manual estimates (Dm) for all animal species and seasons.
Maik Henrich, Christian Fiderer, Alisa Klamm, Anja Schneider, Axel Ballmann, Jürgen Stein, Raffael Kratzer, Rudolf Reiner, Sina Greiner, Sönke Twietmeyer, Tobias Rönitz, Volker Spicher, Simon Chamaillé‐Jammes, Vincent Miele, Gaspard Dussert, Marco Heurich   +15 more
wiley   +1 more source

Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials

Applied Mathematics in Science and Engineering
This article introduces 2-variable q-Hermite matrix polynomials and delves into their complex representation, unravelling specific outcomes. The exploration encompasses the derivation of insightful identities for the q-cosine and q-sine analogues of the ...
Subuhi Khan, Hassan Ali, Mohammed Fadel
doaj   +1 more source

On 2-variable q-Hermite polynomials

AIMS Mathematics, 2021
The quantum calculus has emerged as a connection between mathematics and physics. It has wide applications, particularly in quantum mechanics, analytic number theory, combinatorial analysis, operation theory etc.
Nusrat Raza, Mohammed Fadel , Kottakkaran Sooppy Nisar, M. Zakarya   +3 more
doaj   +1 more source

Classes of Bivariate Orthogonal Polynomials [PDF]

, 2016
We introduce a class of orthogonal polynomials in two variables which generalizes the disc polynomials and the 2-$D$ Hermite polynomials. We identify certain interesting members of this class including a one variable generalization of the 2-$D$ Hermite ...
Ismail, Mourad E. H., Zhang, Ruiming
core   +1 more source

Distance sampling: comparing walked transects and road transects for rock ptarmigan densities and population trends

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

Reintroduction of an Endangered Butterfly, the Mottled Duskywing (Erynnis martialis)

Animal Conservation, EarlyView.
We reintroduced Mottled Duskywing (Erynnis martialis), an endangered skipper butterfly, at different life‐stages to restored oak savanna habitat in Ontario, Canada and then performed intensive post‐release monitoring. Our results show that, at one of three sites, a population was established within two years of initiating releases and that pupae and ...
Michelle Polley, Jessica E. Linton, Adrienne Brewster, Alistair S. MacKenzie, Nusha Keyghobadi, Jessica Steiner, Taylor Kerekes, D. Ryan Norris   +7 more
wiley   +1 more source

Certain properties and characterizations of a novel family of bivariate 2D-q Hermite polynomials

Open Mathematics
This 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, Zayed Mohra, Nahid Tabinda   +2 more
doaj   +1 more source

From tetrachoric to kappa: How to assess reliability on binary scales

British Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract Reliability is crucial in psychometrics, reflecting the extent to which a measurement instrument can discriminate between individuals or items. While classical test theory and intraclass correlation coefficients are well‐established for quantitative scales, estimating reliability for binary outcomes presents unique challenges due to their ...
Sophie Vanbelle
wiley   +1 more source

A new class of degenerate unified Bernoulli-Euler Hermite polynomials of Apostol type

AIMS Mathematics
In this paper, we consider a new class of degenerate unified Bernoulli-Euler Hermite polynomials of Apostol type, denoted by $ \mathcal{W}^{(\alpha)}_{n, \lambda}(\delta, \zeta; \rho; \mu) $.
Ugur Duran, Can Kızılateş, William Ramírez, Clemente Cesarano   +3 more
doaj   +1 more source