Results 51 to 60 of about 1,811 (151)

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

Free vibration analysis of inversely coupled composite laminated shell structures with general boundary condition

AIP Advances, 2021
In this paper, the free vibration characteristics of various coupled composite laminated doubly curved revolution shells are investigated under generalized boundary conditions (BCs).
Kwanghun Kim, Kwangil An, Songhun Kwak, Hyonil Ri, Kumchol Ri, Hohyok Kim   +5 more
doaj   +1 more source

q-Ultraspherical polynomials for q a root of unity

, 1996
Properties of the $q$-ultraspherical polynomials for $q$ being a primitive root of unity are derived using a formalism of the $so_q(3)$ algebra.
A. F. Nikiforov, A. V. Odesskii, A. Zhedanov, A. Zhedanov, Alexei Zhedanov, B. N. Zakhariev, D. B. Fairlie, R. Askey, R. Askey, S. Skorik, T. S. Chihara, V. Spiridonov, Vyacheslav Spiridonov, W. Al-Salam   +13 more
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The reproducing kernel structure arising from a combination of continuous and discrete orthogonal polynomials into Fourier systems [PDF]

, 2006
We study mapping properties of operators with kernels defined via a combination of continuous and discrete orthogonal polynomials, which provide an abstract formulation of quantum (q-) Fourier type systems.
Abreu, Luis Daniel
core   +4 more sources

A numerical scheme to simulate the distributed-order time 2D Benjamin Bona Mahony Burgers equation with fractional-order space

Mathematical Modelling and Analysis
In this study, a new class of the Benjamin Bona Mahony Burgers equation is introduced, which considers the distributedorder in the time variable and fractional-order space in the Caputo form in the 2D case. The 2D-modified orthonormal normalized shifted
Hais Azin, Omid Baghani, Ali Habibirad
doaj   +1 more source

Superelliptic Affine Lie algebras and orthogonal polynomials

Forum of Mathematics, Sigma
We construct two families of orthogonal polynomials associated with the universal central extensions of the superelliptic Lie algebras. These polynomials satisfy certain fourth-order linear differential equations, and one of the families is a particular ...
Felipe Albino dos Santos, Mikhail Neklyudov, Vyacheslav Futorny   +2 more
doaj   +1 more source

Tur\'{a}n's inequality, nonnegative linearization and amenability properties for associated symmetric Pollaczek polynomials

, 2020
An elegant and fruitful way to bring harmonic analysis into the theory of orthogonal polynomials and special functions, or to associate certain Banach algebras with orthogonal polynomials satisfying a specific but frequently satisfied nonnegative ...
Kahler, Stefan
core   +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

Scattering of water waves by thick rectangular barriers in presence of ice cover

Journal of Ocean Engineering and Science, 2020
Assuming linear theory, the two dimensional problem of water wave scattering past thick rectangular barrier in presence of thin ice cover, is investigated here.
Anushree Samanta, Rumpa Chakraborty
doaj   +1 more source

Convexity of the zeros of some orthogonal polynomials and related functions

, 2008
We study convexity properties of the zeros of some special functions that follow from the convexity theorem of Sturm. We prove results on the intervals of convexity for the zeros of Laguerre, Jacobi and ultraspherical polynomials, as well as functions ...
Ahmed, Brezinski, Deaño, Deaño, Ferenc Tookos, Gori, Hahn, Hille, Kalamajska, Kerstin Jordaan, Laforgia, Lorch, Makai, Muldoon, Redheffer, Sturm, Szegő, Szegő   +17 more
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