Results 71 to 80 of about 490,089 (251)

Bernoulli type polynomials on Umbral Algebra

, 2011
The aim of this paper is to investigate generating functions for modification of the Milne-Thomson's polynomials, which are related to the Bernoulli polynomials and the Hermite polynomials. By applying the Umbral algebra to these generating functions, we
G Bretti, G Dattoli, L M Milne-Thomson, M-S Kim, P Blasiak, R Dere, R. Dere, S Roman, Y. Simsek   +8 more
core   +1 more source

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

Higher-Order Hermite-Fejér Interpolation for Stieltjes Polynomials

Journal of Applied Mathematics, 2013
Let and be the ultraspherical polynomials with respect to . Then, we denote the Stieltjes polynomials with respect to satisfying . In this paper, we consider the higher-order Hermite-Fejér interpolation operator based on the zeros of and the higher
Hee Sun Jung, Ryozi Sakai
doaj   +1 more source

Extension of Stein’s lemma derived by using an integration by differentiation technique

Examples and Counterexamples, 2022
We extend Stein’s lemma for averages that explicitly contain the Gaussian random variable at a power. We present two proofs for this extension of Stein’s lemma, with the first being a rigorous proof by mathematical induction.
Konstantinos Mamis
doaj   +1 more source

A Dunkl Analogue of Operators Including Two-variable Hermite polynomials

, 2017
The aim of this paper is to introduce a Dunkl generalization of the operators including two variable Hermite polynomials which are defined by Krech [14](Krech, G.
Aktaş, Rabia, Taşdelen, Fatma, Çekim, Bayram   +2 more
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

The telephone polynomials: An Appell-type orthogonal polynomials connecting Hermite–Laguerre polynomials

Nuclear Physics B
This article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
doaj   +1 more source

Reconstructing Langevin systems from high‐ and low‐resolution time series using Euler and Hermite reconstructions

Methods in Ecology and Evolution, EarlyView.
Abstract The ecological literature often features phenomenological dynamic models lacking robust validation against observational data. Reverse engineering ecological models from data is an alternative approach, where time series data are utilized to infer or fit a stochastic differential equation. This process, known as system reconstruction, presents
Babak M. S. Arani, Egbert H. van Nes, Stephen R. Carpenter   +2 more
wiley   +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

A quantum exactly solvable non-linear oscillator related with the isotonic oscillator

, 2007
A nonpolynomial one-dimensional quantum potential representing an oscillator, that can be considered as placed in the middle between the harmonic oscillator and the isotonic oscillator (harmonic oscillator with a centripetal barrier), is studied.
A M Perelomov, Ahmed S A S, Bagchi B, Bender C M, Dutt R, J F Cariñena, Koc R, M F Rañada, M Santander, Szegö G, Thirulogasanthar K, Wang J S, Zhu D   +12 more
core   +1 more source