Results 51 to 60 of about 2,693 (191)

Option pricing with Legendre polynomials

Journal of Computational and Applied Mathematics, 2017
Here we develop an option pricing method based on Legendre series expansion of the density function. The key insight, relying on the close relation of the characteristic function with the series coefficients, allows to recover the density function rapidly and accurately. Based on this representation for the density function, approximations formulas for
Julien Hok, Tat Lung (Ron) Chan
openaire   +3 more sources

Spatial signatures of group cohesion

Methods in Ecology and Evolution, EarlyView.
Abstract Wildlife populations are undergoing unprecedented changes to their spatial distributions as a result of human activities. Innovative approaches are needed to document these changes, especially in cases where sampling is sparse. Here, we contribute to the tools available in spatial ecology by developing novel metrics based on the coefficient of
Nicola E. Love, Sarah P. Otto
wiley   +1 more source

Extended forms of Legendre-Laguerre-based hybrid polynomials and their characteristics via fractional operator approach

Journal of Inequalities and Applications
This study presents an extensive generalization of Legendre–Laguerre polynomials along with their Appell-type counterparts. Using the quasi-monomiality approach, we establish core analytical features, including recurrence relations, associated ...
Waseem Ahmad Khan, Shahid Ahmad Wani, Mohammad Ayman-Mursaleen, Ketan Kotecha, Prakash Jadhav   +4 more
doaj   +1 more source

Coordinating representation registers: linear algebra students' understanding of orthogonal Legendre polynomials in the inner product space ℙn in a technology-assisted learning environment

Annales de Didactique et de Sciences Cognitives, 2018
The purpose of this research study was to understand how linear algebra students in a university in the United States make sense of the orthogonal Legendre polynomials as vectors of the inner product space ℙn in a DGS (Dynamic Geometry Software)-MATLAB ...
Günhan Caglayan
doaj   +1 more source

The Product of Two Legendre Polynomials [PDF]

Proceedings of the Glasgow Mathematical Association, 1953
1. It is known that any polynomial in μ. can be expanded as a linear function of Legendre polynomials [1]. In particular, we haveThe earlier coefficients, say A0, A2, A4 may easily be found by equating the coefficients of μp+q, μp+q-2, μp+q-4 on the two sides of (1).
openaire   +2 more sources

Residual permutation tests for feature importance in machine learning

British Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract Psychological research has traditionally relied on linear models to test scientific hypotheses. However, the emergence of machine learning (ML) algorithms has opened new opportunities for exploring variable relationships beyond linear constraints.
Po‐Hsien Huang
wiley   +1 more source

Orthogonalizing q-Bernoulli polynomials

Demonstratio Mathematica
In this study, we utilize the Gram-Schmidt orthogonalization method to construct a new set of orthogonal polynomials called OBn(x,q){{\rm{OB}}}_{n}(x,q) from the q-Bernoulli polynomials.
Kuş Semra, Tuglu Naim
doaj   +1 more source

Investigating the Properties and Dynamic Applications of Δ_h Legendre–Appell Polynomials

Mathematics
This research aims to introduce and examine a new type of polynomial called the Δh Legendre–Appell polynomials. We use the monomiality principle and operational rules to define the Δh Legendre–Appell polynomials and explore their properties.
Noor Alam, Shahid Ahmad Wani, Waseem Ahmad Khan, Hasan Nihal Zaidi   +3 more
doaj   +1 more source

Thermal Thresholds and Genetic Sensitivity in Barrel Racing Performance of Quarter Horses Across Temperature–Humidity Indices

Journal of Animal Breeding and Genetics, EarlyView.
ABSTRACT Heat stress is an increasingly important challenge for the performance and welfare of equine athletes, particularly in competitions conducted across diverse climatic conditions. Understanding the genetic basis of performance responses to increasing thermal load is therefore essential to support robust genetic evaluation and sustainable ...
Mário Luiz Santana, Annaiza Braga Bignardi   +1 more
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