Results 61 to 70 of about 5,734 (154)
Exponentials rarely maximize Fourier extension inequalities for cones
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We prove the existence of maximizers and the precompactness of Lp$L^p$‐normalized maximizing sequences modulo symmetries for all valid scale‐invariant Fourier extension inequalities on the cone in R1+d$\mathbb {R}^{1+d}$. In the range for which such inequalities are conjectural, our result is conditional on the boundedness of the extension ...
Giuseppe Negro +3 more
wiley +1 more source
Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space
International Journal of Mathematics and Mathematical Sciences, 2004 A new method for constructing Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space is presented. In earlier research, we only dealt with scalar-valued weight functions.
Fred Brackx +2 more
doaj +1 more source
On the local time of random walks associated with Gegenbauer polynomials
, 2010 The local time of random walks associated with Gegenbauer polynomials $P_n^{(\alpha)}(x),\ x\in [-1,1]$ is studied in the recurrent case: $\alpha\in\ [-\frac{1}{2},0]$.
Guillotin-Plantard, Nadine
core +3 more sources
Distributed order hantavirus model and its nonstandard discretizations and stability analysis
Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2404-2420, 30 January 2025.It is crucial to understand the effects of deadly viruses on humans in advance. One such virus is the infectious hantavirus. Since the effects of viruses vary under different conditions, this study models the virus using distributed order differential equations.
Mehmet Kocabiyik, Mevlüde Yakit Ongun
wiley +1 more source
On a Class of Integrals Involving a Bessel Function Times Gegenbauer Polynomials
International Journal of Mathematics and Mathematical Sciences, 2007 We provide information and explicit formulae for a class of integrals involving Bessel functions and Gegenbauer polynomials. We present a simple proof of an old formula of Gegenbauer.
Stamatis Koumandos
doaj +1 more source
Advances in Difference Equations, 2019 The classical linearization problem concerns with determining the coefficients in the expansion of the product of two polynomials in terms of any given sequence of polynomials.
Taekyun Kim +3 more
doaj +1 more source
Construction of the Shifted Modified Gegenbauer Polynomials and Approximation
Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.This article is concerned with deriving a new system of orthogonal polynomials, derived from the Gegenbauer polynomials, modified by affine transforms in variable, named shifted Gegenbauer polynomials. They appear as solutions of linear differential equation.
Abdelhamid Rehouma +2 more
wiley +1 more source
On Sequences of Numbers and Polynomials Defined by Linear Recurrence Relations of Order 2
International Journal of Mathematics and Mathematical Sciences, 2009 Here we present a new method to construct the explicit formula of a sequence of numbers and polynomials generated by a linear recurrence relation of order 2.
Tian-Xiao He, Peter J.-S. Shiue
doaj +1 more source
Matrix-valued Gegenbauer polynomials
, 2014 We introduce matrix-valued weight functions of arbitrary size, which are analogues of the weight function for the Gegenbauer or ultraspherical polynomials for the parameter $ >0$. The LDU-decomposition of the weight is explicitly given in terms of Gegenbauer polynomials. We establish a matrix-valued Pearson equation for these matrix weights leading
Koelink, Erik +2 more
openaire +2 more sources
Optimal Algebras and Novel Solutions of Time‐Fractional (2 + 1) − D European Call Option Model
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.In this article, we analyse the time‐fractional (2 + 1) − D Black–Scholes model for European call options by employing Lie symmetry analysis. We derive the infinitesimal transformations and classify the optimal systems. Furthermore, under the geometric Brownian motion, we reduced the given model to ordinary differential equation (ODE) with integer ...
Gimnitz Simon S. +3 more
wiley +1 more source