Results 31 to 40 of about 147 (140)

On the Complex Zeros of Some Families of Orthogonal Polynomials

Abstract and Applied Analysis, 2010
The complex zeros of the orthogonal Laguerre polynomials 𝐿𝑛(𝑎)(𝑥) for ...
Eugenia N. Petropoulou
doaj   +1 more source

A new characterization of ultraspherical polynomials [PDF]

Proceedings of the American Mathematical Society, 2008
We characterize the class of ultraspherical polynomials in between all symmetric orthogonal polynomials on [-1,1] via the special form of the representation of the derivatives p' n+1 (x) by p k (x), k = 0,..., n.
R. Lasser, J. Obermaier
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Complex and distributional weights for sieved ultraspherical polynomials

International Journal of Mathematics and Mathematical Sciences, 1996
Contour integral and distributional orthogonality of sieved ultraspherical polynomials are established for values of the parameters outside the natural range of orthogonality by positive measures on the real line.
Jairo A. Charris, Felix H. Soriano
doaj   +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
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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
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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

Poisson kernels of q$q$‐3D Hermite polynomials expansion for functions of several variables via generalized q$q$‐heat equations

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract The representation of an analytic function as a series involving q$q$‐polynomials is a fundamental problem in classical analysis and approximation theory [Ramanujan J. 19 (2009), no. 3, 281–303]. In this paper, our investigation is focusing on q$q$‐analog complex Hermite polynomials, which were motivated by Ismail and Zhang [Adv. Appl.
Jian Cao
wiley   +1 more source

Extremal Properties of Ultraspherical Polynomials

Journal of Approximation Theory, 1994
It is known that among all polynomials \(P_ n(x)= \sum_{j\equiv 0}^ n a_ j x^ j\) satisfying \(\max_{-1\leq x\leq 1} | P_ n (x)|\leq 1\), the \(\max | a_ n|\) is obtained for the Chebyshev polynomials \(T_ n(x)\) of the first kind. Similarly, \(U_ n(x)\) maximizes \(| a_ n|\) among all polynomials \(P_ n(x)\) satisfying \(\max_{-1\leq x\leq 1} \sqrt{1-
openaire   +2 more sources