Results 81 to 90 of about 412 (154)

Ritt’s question on the Wronskian [PDF]

Pacific Journal of Mathematics, 1970
Mead, D. G., McLemore, B. D.
openaire   +3 more sources

On One Property Of One Solution Of One Equation” Or Linear ODE’s, Wronskians And Schubert Calculus

, 2012
For a linear ODE with indeterminate coefficients,we explicitly exhibit a fundamental system of solutions in terms of the coefficients. We show that the generalized Wronskians of the fundamental system are given by an action of the Schur functions on the ...
GATTO, Letterio, Scherbak I.
core  

Representations of Indefinite Integrals Involving Exceptional Orthogonal Polynomials in Terms of Wronskians and Parameter Derivatives

Mathematics
We construct classes of indefinite integrals that involve exceptional orthogonal polynomials of Laguerre, Jacobi, or Hermite types. By means of a recently devised method, these integrals can be represented in closed form.
Axel Schulze-Halberg
doaj   +1 more source

Monotonicity and limit results for certain symmetric matrix-valued functions with applications in singular Sturmian theory

Applied Mathematics in Science and Engineering
In this paper we study the monotonicity and limit properties at infinity of certain symmetric matrix-valued functions arising in the singular Sturmian theory of canonical linear differential systems.
Peter Šepitka, Roman Šimon Hilscher
doaj   +1 more source

Optimal designs for health risk assessments using fractional polynomial models. [PDF]

Stoch Environ Res Risk Assess, 2022
Casero-Alonso V, López-Fidalgo J, Wong WK.   +2 more
europepmc   +1 more source

Confluent Darboux Transformations and Wronskians for Algebraic Solutions of the Painlevé III (D₇) Equation

Mathematics
Darboux transformations are relations between the eigenfunctions and coefficients of a pair of linear differential operators, while Painlevé equations are nonlinear ordinary differential equations whose solutions arise in diverse areas of applied ...
Joe W. E. Harrow, Andrew N. W. Hone
doaj   +1 more source

Asymptotic Behaviors of Wronskians and Finite Asymptotic Expansions in the Real Domain - Part I: Scales of Regularly- or Rapidly-Varying Functions

, 2017
In a previous series of papers we established a general theory of finite asymptotic expansions in the real domain for functions f of one real variable sufficiently-regular on a deleted neighborhood of a point x0 ∈ R, a theory based on the use of a ...
Antonio Granata
core   +1 more source

On Wronskians Whose Elements are Orthogonal Polynomials [PDF]

Proceedings of the American Mathematical Society, 1964
where { Qr(x) } (r = 0, 1, 2, * . . ) is a sequence of orthogonal polynomials associated with a certain measure. They proved [1, Theorem 1] if I is even, W(n, 1; x) keeps constant sign for all real x, i.e., the Wronskian (1), which is an n.1 degree polynomial, has only complex roots.
openaire   +2 more sources

Riemann theta functions, Fredholm and wronskian representations of the solutions to the KdV equation

, 2021
We degenerate the finite gap solutions of the KdV equation from the general formulation given in terms of abelian functions when the gaps tends to points, to get solutions to the KdV equation given in terms of Fredholm determinants and wronskians.
Gaillard, Pierre
core   +1 more source

The KdV equation and solutions in terms of Wronskians +

A method to construct solutions to the Korteweg-de-Vries (KdV) equation in terms of wronskians is given. For this, a particular type of polynomials is considered and we obtain for each positive integer n, rational solutions in terms of determinants of ...
Gaillard, Pierre
core   +1 more source