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On linearization coefficients of Jacobi polynomials [PDF]
Applied Mathematics Letters, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hamza Chaggara, Wolfram Koepf
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The quantized Jacobi polynomials [PDF]
Applications of Mathematics, 1987 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 polynomials.
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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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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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Exceptional Jacobi polynomials [PDF]
Journal of Approximation Theory, 2019 40 pages, 1 ...
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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
Dimitrov, D. K., Rodrigues, R. O.
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On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2011 A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials.
Tom H. Koornwinder
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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
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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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Differentiation by integration with Jacobi polynomials
Journal of Computational and Applied Mathematics, 2011 In this paper, the numerical differentiation by integration method based on Jacobi polynomials originally introduced by Mboup, Fliess and Join is revisited in the central case where the used integration window is centered. Such method based on Jacobi polynomials was introduced through an algebraic approach and extends the numerical differentiation by ...
Liu, Da-Yan +2 more
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