Results 31 to 40 of about 40,478 (197)
Parameter Derivatives of the Jacobi Polynomials with Three Variables on the Simplex
MATEC Web of Conferences, 2016 In this paper, an attempt has been made to derive parameter derivatives of Jacobi polynomials with three variables on the simplex. They are obtained via parameter derivatives of the classical Jacobi polynomials Pn(α,β)(x) with respect to their parameters.
Aktaş Rabia
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Onsager's algebra and partially orthogonal polynomials [PDF]
, 2002 The energy eigenvalues of the superintegrable chiral Potts model are determined by the zeros of special polynomials which define finite representations of Onsager's algebra. The polynomials determining the low-sector eigenvalues have been given by Baxter
Albertini G., Dolan L., G. VON GEHLEN
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Iterated Integrals of Jacobi Polynomials [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2019 Let P(α,β)n be the n-th monic Jacobi polynomial with α,β>−1. Given m numbers ω1,…,ωm∈C∖[−1,1], let Ωm=(ω1,…,ωm) and P(α,β)n,m,Ωm be the m-th iterated integral of (n+m)!n!P(α,β)n normalized by the conditions dkP(α,β)n,m,Ωmdzk(ωm−k)=0, for k=0,1,…,m−1. The main purpose of the paper is to study the algebraic and asymptotic properties of the sequence of ...
Hector Pijeira-Cabrera +1 more
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Orthogonal polynomials of discrete variable and boundedness of Dirichlet kernel [PDF]
, 2005 For orthogonal polynomials defined by compact Jacobi matrix with exponential decay of the coefficients, precise properties of orthogonality measure is determined.
Obermaier, Josef, Szwarc, Ryszard
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Some generalized Jacobi polynomials
Computers & Mathematics with Applications, 2003 Following the work of the first author [Int. J. Math. Math. Sci. 24, No. 10, 673--689 (2000; Zbl 0967.33006)] in this paper the authors obtain the explicit expressions for the coefficients in the three term pure recurrence relation for generalized Jacobi polynomials defined by a positive weight function which involves a \(p\)th power of \((1-x)\).
Atia, M.J., Alaya, J., Ronveaux, A.
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Exceptional Jacobi polynomials which are deformations of Jacobi polynomials
Journal of Mathematical Analysis and Applications, 2023 Exceptional polynomials are complete orthogonal polynomial systems with respect to a positive measure in the real line which in addition are eigenfunctions of a second order differential operator. The most apparent difference between classical orthogonal polynomials and their exceptional counterparts is that the exceptional families have gaps in their ...
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Jacobi polynomials from compatibility conditions [PDF]
Proceedings of the American Mathematical Society, 2004 We revisit the ladder operators for orthogonal polynomials and re-interpret two supplementary conditions as compatibility conditions of two linear over-determined systems; one involves the variation of the polynomials with respect to the variable z z (spectral parameter) and the other a recurrence relation in n n ...
Chen, Yang, Ismail, Mourad
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New Biparametric Families of Apostol-Frobenius-Euler Polynomials level-m
Математичні Студії, 2021 We introduce two biparametric families of Apostol-Frobenius-Euler polynomials of level-$m$. We give some algebraic properties, as well as some other identities which connect these polynomial class with the generalized $\lambda$-Stirling type numbers of ...
D. Bedoya +3 more
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Divergent Jacobi polynomial series [PDF]
Proceedings of the American Mathematical Society, 1983 Fix real numbers α ⩾ β ⩾ − 1 2 \alpha \geqslant \beta \geqslant - \tfrac {1}{2} , with α > − 1 2 \alpha > - \tfrac {1}{2} , and equip [
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Dispersion Estimates for the Discrete Laguerre Operator [PDF]
, 2016 We derive an explicit expression for the kernel of the evolution group $\exp(-\mathrm{i} t H_0)$ of the discrete Laguerre operator $H_0$ (i.e. the Jacobi operator associated with the Laguerre polynomials) in terms of Jacobi polynomials.
Kostenko, Aleksey, Teschl, Gerald
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