Results 61 to 70 of about 4,376 (199)
Conformal string operators and evolution of skewed parton distributions [PDF]
, 1999 We have investigated skewed parton distributions in coordinate space. We found that their evolution can be described in a simple manner in terms of non-local, conformal operators introduced by Balitsky and Braun.
Balitskii +48 more
core +2 more sources
Quantum algebra approach to q Gegenbauer polynomials
Journal of Computational and Applied Mathematics, 1995 Quantum algebras provide a natural algebraic setting for \(q\)-special functions. The matrix elements of certain algebra generators in irreducible representations are in fact expressible in terms of \(q\)- hypergeometric series. The author here takes the quantum algebra \({\mathcal U}_q (\text{su} (1,1))\) as example, to show that its metaplectic ...
Roberto Floreanini, Luc Vinet
openaire +3 more sources
Gegenbauer polynomials and the Fueter theorem [PDF]
Complex Variables and Elliptic Equations, 2013 The Fueter theorem states that regular (resp. monogenic) functions in quaternionic (resp. Clifford) analysis can be constructed from holomorphic functions in the complex plane, hereby using a combination of a formal substitution and the action of an appropriate power of the Laplace operator.
Eelbode, David +2 more
openaire +3 more sources
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
Oblique Water Wave Diffraction by a Step
International Journal of Applied Mechanics and Engineering, 2017 This paper is concerned with the problem of diffraction of an obliquely incident surface water wave train on an obstacle in the form of a finite step.
P. Dolai
doaj +1 more source
One-Step Recurrences for Stationary Random Fields on the Sphere [PDF]
, 2016 Recurrences for positive definite functions in terms of the space dimension have been used in several fields of applications. Such recurrences typically relate to properties of the system of special functions characterizing the geometry of the underlying
Beatson, R. K., Castell, W. zu
core +1 more source
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
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
Discrete-Time Filter Synthesis using Product of Gegenbauer Polynomials [PDF]
Radioengineering, 2016 A new approximation to design continuoustime and discrete-time low-pass filters, presented in this paper, based on the product of Gegenbauer polynomials, provides the ability of more flexible adjustment of passband and stopband responses.
N. Stojanovic, N. Stamenkovic, I. Krstic
doaj
Old and New Identities for Bernoulli Polynomials via Fourier Series
International Journal of Mathematics and Mathematical Sciences, 2012 The Bernoulli polynomials Bk restricted to [0,1) and extended by periodicity have nth sine and cosine Fourier coefficients of the form Ck/nk. In general, the Fourier coefficients of any polynomial restricted to [0,1) are linear combinations of terms of ...
Luis M. Navas +2 more
doaj +1 more source