This repository contains examples of partial sums of orthogonal polynomials, including Hermite, Charlier, and Lommel polynomials. Each example includes Maple code with detailed comments explaining the ...

Different aspects of mathematical finance benefit from the use Hermite polynomials, and this is particularly the case where risk drivers have a Gaussian distribution. They support quick analytical ...

1 Department of Mathematics, University of Ilorin, Ilorin, Nigeria. 2 Department of Mathematics and Computer Science, Delta State University, Abraka, Nigeria. Modelling of physical problems arising ...

Polyanalytic function theory extends the classical theory of holomorphic functions by encompassing functions that satisfy higher‐order generalisations of the Cauchy–Riemann equations. This broader ...

We investigate a practical and fast analytic framework for portfolio modeling and tail risk allocation using Hermite polynomials. This framework was first discussed in "An analytical framework for ...

Following the lines of the recent paper of J.-P. Gazeau and F. H. Szafraniec [J. Phys. A: Math. Theor. 44, 495201 (2011)], we construct here three types of coherent states, related to the Hermite ...

Abstract: This paper considers interpolating matrix polynomials P(λ) in Lagrange and Hermite bases. A classical approach to investigating the polynomial eigenvalue problem P(λ) x = 0 is linearization, ...