Results 81 to 90 of about 6,857,278 (209)

Finite Biorthogonal Polynomials Suggested by the Finite Orthogonal Polynomials Mnp,qx$$ {M}_n^{\left(p,q\right)}(x) $$

Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12524-12538, 30 July 2026.
ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
wiley   +1 more source

Optimal Liouville-type theorems for a parabolic system

Discrete and Continuous Dynamical Systems, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Existence and Hyers–Ulam stability for three-point boundary value problems with Riemann–Liouville fractional derivatives and integrals

Advances in Difference Equations, 2018
This paper is concerned with a class of two-term fractional differential equations. Three-point boundary value problems with mixed Riemann–Liouville fractional differential and integral boundary conditions are discussed.
Lei Xu, Qixiang Dong, Gang Li
doaj   +1 more source

On a Liouville-type theorem for the Ginzburg–Landau system

Comptes Rendus. Mathématique, 2017
We prove that entire, complex valued solutions to the Ginzburg–Landau system with positive real and imaginary parts are constant in any spatial dimension. This property was shown very recently only in the planar case.
openaire   +1 more source

A Liouville type theorem for Carnot groups

, 2010
11 ...
Ottazzi, Alessandro, Warhurst, Ben
openaire   +2 more sources

Newton-type Inequalities for Fractional Integrals by Various Function Classes

Universal Journal of Mathematics and Applications
The authors of the paper examine some Newton-type inequalities for various function classes using Riemann-Liouville fractional integrals. Namely, we establish some Newton-type inequalities for bounded functions by fractional integrals.
Hüseyin Budak, Tingsong Du, Fatih Hezenci   +2 more
doaj   +1 more source

Boas-type theorems for the Sturm-Liouville transform

We introduce generalized Lipschitz classes $\mbox{Lip}_k(\beta)$ and $\mbox{lip}_k(\beta)$ of functions associated with the Sturm-Liouville operator $L$; and we prove two versions of Boas-type theorems for the Sturm-Liouville transform $\mathscr{F}$.
Maher Aloui, Fethi Soltani
core   +1 more source

A Study on Generalized Multivariable Mittag-Leffler Function via Generalized Fractional Calculus Operators

Journal of Mathematics, 2019
We study some properties of generalized multivariable Mittag-Leffler function. Also we establish two theorems, which give the images of this function under the generalized fractional integral operators involving Fox’s H-function as kernel.
D. L. Suthar, Mitku Andualem, Belete Debalkie   +2 more
doaj   +1 more source

Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems [PDF]

, 2011
summary:In this paper we establish new nonlinear Liouville theorems for parabolic problems on half spaces. Based on the Liouville theorems, we derive estimates for the blow-up of positive solutions of indefinite parabolic problems and investigate the ...
Földes, Juraj, Juraj Földes Nashville
core   +1 more source

Some New Approaches to Fractional Euler–Maclaurin-Type Inequalities via Various Function Classes

Fractal and Fractional
This paper aims to examine an approach that studies many Euler–Maclaurin-type inequalities for various function classes applying Riemann–Liouville fractional integrals.
Mehmet Gümüş, Fatih Hezenci, Hüseyin Budak   +2 more
doaj   +1 more source