Results 51 to 60 of about 2,335 (226)

Exceptional Differential Polynomial Systems Formed by Simple Pseudo-Wronskians of Jacobi Polynomials and Their Infinite and Finite X-Orthogonal Reductions

Mathematics
The paper advances a new technique for constructing the exceptional differential polynomial systems (X-DPSs) and their infinite and finite orthogonal subsets.
Gregory Natanson
doaj   +1 more source

Landau-Kolmogorov type inequalities in several variables for the Jacobi measure [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 2014
This paper is devoted to Landau-Kolmogorov type inequalities in several variables in L2 norm for Jacobi measures. These measures are chosen in such a way that the partial derivatives of the Jacobi orthogonal polynomials are also orthogonal.
Lamia Abbas, André Draux
doaj  

Some Identities on Bernoulli and Hermite Polynomials Associated with Jacobi Polynomials

Discrete Dynamics in Nature and Society, 2012
We investigate some identities on the Bernoulli and the Hermite polynomials arising from the orthogonality of Jacobi polynomials in the inner product space Pn.
Taekyun Kim, Dae San Kim, Dmitry V. Dolgy   +2 more
doaj   +1 more source

INTEGRAL REPRESENTATIONS FOR THE JACOBI–PINEIRO POLYNOMIALS AND THE FUNCTIONS OF THE SECOND KIND

Проблемы анализа, 2019
We consider the Hermite – Pad´e approximants for the Cauchy transforms of the Jacobi weights in one interval. The denominators of the approximants are known as Jacobi – Pi˜neiro polynomials.
V. G. Lysov
doaj   +1 more source

Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations

Advances in Mathematical Physics, 2020
This paper is devoted to the numerical scheme for a class of fractional order integrodifferential equations by reproducing kernel interpolation collocation method with reproducing kernel function in the form of Jacobi polynomials.
Zhiyuan Li, Meichun Wang, Yulan Wang, Jing Pang   +3 more
doaj   +1 more source

Analytical properties of the two-variables Jacobi matrix polynomials with applications

Demonstratio Mathematica, 2021
In the current study, we introduce the two-variable analogue of Jacobi matrix polynomials. Some properties of these polynomials such as generating matrix functions, a Rodrigue-type formula and recurrence relations are also derived.
Abdalla Mohamed, Hidan Muajebah
doaj   +1 more source

Life‐cycle planning model with stochastic volatility and recursive preferences

International Review of Finance, Volume 25, Issue 2, June 2025.
Abstract This study examines the optimal investment, consumption, and life insurance choices faced by a wage earner with recursive preferences within a finite time horizon. We posit that the financial market comprises a risk‐free asset and a risky asset that follows a general stochastic volatility model.
Hao Wang, Dongdong Liu, Lin Xu, Ning Wang   +3 more
wiley   +1 more source

An upper bound on Jacobi polynomials

Journal of Approximation Theory, 2007
Let ${\bf P}_k^{( , )} (x)$ be an orthonormal Jacobi polynomial of degree $k.$ We will establish the following inequality \begin{equation*} \max_{x \in [ _{-1}, _1]}\sqrt{(x- _{-1})( _1-x)} (1-x)^ (1+x)^ ({\bf P}_{k}^{( , )} (x))^2 < \frac{3 \sqrt{5}}{5}, \end{equation*} where $ _{-1}
openaire   +3 more sources

Time‐Series Factor Modeling and Selection

Journal of Financial Research, Volume 48, Issue 2, Page 839-875, Summer 2025.
Abstract The article proposes a statistical time‐series factor model that incorporates deterministic orthogonal trend polynomials. Such polynomials allow capturing variation in returns without initially identifying a set of robust time‐series factors.
Michael Michaelides
wiley   +1 more source

Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics

Symmetry, Integrability and Geometry: Methods and Applications, 2009
New exactly solvable rationally-extended radial oscillator and Scarf I potentials are generated by using a constructive supersymmetric quantum mechanical method based on a reparametrization of the corresponding conventional superpotential and on the ...
Christiane Quesne
doaj   +1 more source