Results 41 to 50 of about 180,252 (161)
Euler characters and super Jacobi polynomials [PDF]
, 2011 We prove that Euler supercharacters for orthosymplectic Lie superalgebras can be obtained as a certain specialization of super Jacobi polynomials. A new version of Weyl type formula for super Schur functions and specialized super Jacobi polynomials play ...
A.N. Sergeev (7160591) +1 more
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On the Behaviour of Zeros of Jacobi Polynomials
Journal of Approximation Theory, 2002 Denoting by \(x_{n,k}(\alpha,\beta)\) and \(x_{n,k}(\lambda)= x_{n,k} (\lambda-1/2, \lambda-1/2)\) the zeros, in decreasing order, of the Jacobi polynomial \(P_n^{(\alpha,\beta)} (x)\) and of the ultraspherical (or Gegenbauer) polynomial \(C_n^\lambda(x)\), respectively, the authors investigate the monotonicity of \(x_{n,k}(\alpha,\beta)\) as functions
Dimitar K. Dimitrov 0001 +1 more
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Orthogonal Polynomials, Paraorthogonal Polynomials, and Point Perturbation [PDF]
, 2009 This thesis consists of three parts. Part 1 starts with an introduction to orthogonal polynomials, to be followed by some well-known theorems pertinent to the results we shall discuss.
Wong, Manwah Lilian
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Recurrence coefficients for discrete orthonormal polynomials and the Painlevé equations [PDF]
, 2013 We investigate semi-classical generalizations of the Charlier and Meixner polynomials, which are discrete orthogonal polynomials that satisfy three-term recurrence relations.
Clarkson, Peter
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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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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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On the Extreme Zeros of Jacobi Polynomials
, 2023 By applying the Euler--Rayleigh methods to a specific representation of the Jacobi polynomials as hypergeometric functions, we obtain new bounds for their largest zeros. In particular, we derive upper and lower bound for $1-x_{nn}^2(λ)$, with $x_{nn}(λ)$ being the largest zero of the $n$-th ultraspherical polynomial $P_n^{(λ)}$.
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The quantized Jacobi polynomials [PDF]
, 1952 summary:The author studies a system of polynomials orthogonal at a finite set of points its weight approximating that of the orthogonal system of classical Jacobi ...
Lukš, Antonín +2 more
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Chained-Function Filter Synthesis Based on the Modified Jacobi Polynomials [PDF]
Radioengineering, 2018 A new class of filter functions with pass-band ripple which derives its origin from a method of determining the chained function lowpass filters described by Guglielmi and Connor is introduced.
G. Perenic +3 more
doaj
Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space
International Journal of Mathematics and Mathematical Sciences, 2004 A new method for constructing Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space is presented. In earlier research, we only dealt with scalar-valued weight functions.
Fred Brackx +2 more
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