Results 31 to 40 of about 538,632 (288)
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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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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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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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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Quantum communication through a spin chain with interaction determined by a Jacobi matrix [PDF]
, 2009 We obtain the time-dependent correlation function describing the evolution of a single spin excitation state in a linear spin chain with isotropic nearest-neighbour XY coupling, where the Hamiltonian is related to the Jacobi matrix of a set of orthogonal
Chakrabarti, R., Van der Jeugt, J.
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Jacobi polynomials as generalized Faber polynomials [PDF]
Transactions of the American Mathematical Society, 1990 Let B {\mathbf {B}} be an open bounded subset of the complex z z -plane with closure B ¯ \overline {\mathbf {B}} whose complement B ¯ c {
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Generalized Jacobi Weights, Christoffel Functions, and Jacobi Polynomials [PDF]
SIAM Journal on Mathematical Analysis, 1994 Let \(\omega(x)= (1- x)^ \alpha(1+ x)^ \beta\), \(\alpha>-1\), \(\beta>- 1\), \(x\in [-1,1]\), and let \(\{p_ n(\omega,x)\}\) be the set of Jacobi polynomials which are orthogonal with respect to \(\omega(x)\) over \([- 1,1]\). With a view to determining the constant involved in the known inequality (\textit{L. Gatteschi} [SIAM J. Math. Anal.
Nevai, Paul +2 more
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Bispectral Jacobi type polynomials [PDF]
Advances in Applied Mathematics, 2022 23 pages.
Antonio J. Durán +1 more
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