Results 41 to 50 of about 1,059,315 (385)
Проблемы анализа, 2020 In this paper, we give the generating functions of binary product between 2-orthogonal Chebyshev polynomials and kFibonacci, k-Pell, k-Jacobsthal numbers and the other orthogonal Chebyshev polynomials.
H. Merzouk, B. Aloui, A. Boussayoud
doaj +1 more source
Equivalences of the Multi-Indexed Orthogonal Polynomials [PDF]
, 2013 Multi-indexed orthogonal polynomials describe eigenfunctions of exactly solvable shape-invariant quantum mechanical systems in one dimension obtained by the method of virtual states deletion.
Odake, Satoru
core +3 more sources
Polynomials orthogonal on the semicircle [PDF]
Journal of Approximation Theory, 1986 AbstractComplex polynomials {πk}, πk(z) = zk + ···, orthogonal with respect to the complex-valued inner product (f, g) = ∝0πf(eiθ)g(eiθ)dθ are studied. By direct calculation of moment determinants it is shown that these polynomials exist uniquely. The three-term recurrence relation satisfied by these polynomials is obtained explicitly as well as their ...
Gradimir V. Milovanović +1 more
openaire +1 more source
Elastohydrodynamic Simulation of Pneumatic Sealing Friction Considering 3D Surface Topography
Chemical Engineering &Technology, Volume 46, Issue 1, Page 167-174, January 2023., 2023 The influence of the surface topography of the sealing counterface in a pneumatic spool valve on the sealing friction force during operation is investigated. For that, the 3D surface topography of the running surface has been measured optically. Using an elastohydrodynamic lubrication simulation, it could be demonstrated that the surface topography ...
Niklas Bauer +4 more
wiley +1 more source
Orthogonal polynomials of dimension –1 in the non-definite case [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1994 : Orthogonal polynomials of dimension d = −1 are a particular case of vector orthogonal polynomials which are, themselves, a particular case of biorthogonal polynomials.
C. BREZINSKI , M. REDIVO-ZAGLIA
doaj
Orthogonal polynomials for exponential weights x2α(1 – x2)2ρe–2Q(x) on [0, 1)
Open Mathematics, 2020 Let Wα,ρ = xα(1 – x2)ρe–Q(x), where α > –12$\begin{array}{} \displaystyle \frac12 \end{array}$ and Q is continuous and increasing on [0, 1), with limit ∞ at 1.
Liu Rong
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On some hypergeometric Sobolev orthogonal polynomials with several continuous parameters
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2023 In this paper we study the following hypergeometric polynomials: $$ \mathcal{P}_n(x) = \mathcal{P}_n(x;\alpha,\beta,\delta_1, \dots,\delta_\rho,\kappa_1,\dots,\kappa_\rho) = $$ $$ = {}_{\rho+2} F_{\rho+1} (-n,n+\alpha+\beta+1,\delta_1+1, \dots,\delta_ ...
Sergey Zagorodnyuk
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Discriminants and Functional Equations for Polynomials Orthogonal on the Unit Circle [PDF]
, 2001 We derive raising and lowering operators for orthogonal polynomials on the unit circle and find second order differential and $q$-difference equations for these polynomials.
Ismail, Mourad E. H., Witte, Nicholas S.
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A General Method for Generating Discrete Orthogonal Matrices
IEEE Access, 2021 Discrete orthogonal matrices have applications in information coding and cryptography. It is often challenging to generate discrete orthogonal matrices.
Ka-Hou Chan, Wei Ke, Sio-Kei Im
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Connecting Exceptional Orthogonal Polynomials of Different Kind [PDF]
J. Math. Phys. 65 (2024) 043501, 12 pages, 2023 The known asymptotic relations interconnecting Jacobi, Laguerre, and Hermite classical orthogonal polynomials are generalized to the corresponding exceptional orthogonal polynomials of codimension $m$. It is proved that $X_m$-Laguerre exceptional orthogonal polynomials of type I, II, or III can be obtained as limits of $X_m$-Jacobi exceptional ...
arxiv