Results 51 to 60 of about 40,478 (197)
Reproducing Kernels for q-Jacobi Polynomials [PDF]
Proceedings of the American Mathematical Society, 1977 We derive a family of reproducing kernels for the q-Jacobi polynomials Φ n ( α , β ) ( x ) = 2 Φ 1 (
Al-Salam, Waleed A. +1 more
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Inversion Integrals Involving Jacobi's Polynomials [PDF]
Proceedings of the American Mathematical Society, 1964 These standardizations for 13= 1/2 reduce to the standardized Gegenbauer polynomials used by Buschman when k is an even integer in [2]. Thus the results of [2] are particular cases of those given here when k is an even integer. A generalization, for the case when k is an odd integer in the standardizations used by Buschman, appears to be impossible ...
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Subalgebras of $\gc_N$ and Jacobi polynomials
, 2001 We classify the subalgebras of the general Lie conformal algebra $\gc_N$ that act irreducibly on $\C[\partial]^N$ and that are normalized by the $\operatorname{sl}_2$--part of a Virasoro element.
Alberto De Sole +4 more
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On the Integral Representation of Jacobi Polynomials
MathematicsIn this paper, we present a new integral representation for the Jacobi polynomials that follows from Koornwinder’s representation by introducing a suitable new form of Euler’s formula.
Enrico De Micheli
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Extended Jacobi Functions via Riemann-Liouville Fractional Derivative
Abstract and Applied Analysis, 2013 By means of the Riemann-Liouville fractional calculus, extended Jacobi functions are de fined and some of their properties are obtained. Then, we compare some properties of the extended Jacobi functions extended Jacobi polynomials.
Bayram Çekim, Esra Erkuş-Duman
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Multiple big q-Jacobi polynomials
Bulletin of Mathematical Sciences, 2020 Here, we investigate type II multiple big [Formula: see text]-Jacobi orthogonal polynomials. We provide their explicit formulae in terms of basic hypergeometric series, raising and lowering operators, Rodrigues formulae, third-order [Formula: see text]-difference equation, and we obtain recurrence relations.
Fethi Bouzeffour, Mubariz Garayev
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
wiley +1 more source
Differential Equations for Jacobi-Pineiro Polynomials [PDF]
Computational Methods and Function Theory, 2006 For $r\in \Z_{\geq 0}$, we present a linear differential operator %$(\di)^{r+1}+ a_1(x)(\di)^{r}+...+a_{r+1}(x)$ of order $r+1$ with rational coefficients and depending on parameters. This operator annihilates the $r$-multiple Jacobi-Pi eiro polynomial.
Mukhin, Eugene, Varchenko, Alexander
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Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Differentiation of noisy signals is a relevant and challenging task. Widespread approaches are the linear high‐gain observer acting as a differentiator and Levant's robust exact differentiator with a discontinuous right‐hand side. We consider the family of arbitrary‐order homogeneous differentiators, which includes these special cases.
Benjamin Calmbach +2 more
wiley +1 more source
, 1999 We look for spectral type differential equations satisfied by the generalized Jacobi polynomials which are orthogonal on the interval [-1,1] with respect to a weight function consisting of the classical Jacobi weight function together with point masses ...
Koekoek, J., Koekoek, R.
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