Results 131 to 140 of about 180,252 (161)
EXTENDED JACOBI MATRIX POLYNOMIALS
, 2013 In this paper, extended Jacobi matrix polynomials (EJMPs) are introduced. The matrix differential equation satisfied by them is given. A Rodrigues formula, orthogonality, linear generating matrix functions and recurrence relations are presented for these
ÇEKİM, BAYRAM +2 more
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An Integral Formula For Generalized Gegenbauer Polynomials And Jacobi Polynomials
, 2007 The generalized Gegenbauer polynomials are orthogonal polynomials with respect to the weight function jxj . An integral formula for these polynomials is proved, which serves as a transformation between h-harmonic polynomials associated with Z ...
Yuan Xu
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Spherical and Cherednik-Opdam transforms of Jacobi-type polynomials
, 2019 The spherical transform maps the orthogonal basis of symmetric Jacobi-type polynomials to an orthogonal basis of (symmetric) Wilson polynomials. The spherical transform is closely related to the Cherednik-Opdam transform, as it is essentially its ...
van der Klein, Anne (author)
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On lag windows connected with Jacobi polynomials.
, 2002 Lag windows whose corresponding spectral windows are Jacobi polynomials or sums of Jacobi polynomials are introduced. The bias and variance of their spectral density estimators are investigated and their window bandwidth and characteristic exponent are ...
Lasser, R.
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Jacobi Polynomials as Spherical Harmonics
Indagationes Mathematicae (Proceedings), 1968 Braaksma, B.L.J., Meulenbeld, B.
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On generating functions of the Jacobi polynomial [PDF]
Pacific Journal of Mathematics, 1955 openaire +3 more sources
Linearization of Products of Jacobi Polynomials.
MATHEMATICA SCANDINAVICA, 1962 openaire +3 more sources
Relativistic jacobi polynomials
Integral Transforms and Special Functions, 1999 A new polynomials set, of generalized hypergeometric type, is defined. These polynomials, called relativistic Jacobi polynomials (RJP) and denoted by represent an extension of the classical Jacobi orthogonal polynomials in the sense that they reduce to the latter in the non-relativistic limit (N → ∞). Some basic properties of these polynomials, as well
He, Matthew, Natalini, P.
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The Zeros of Certain Jacobi Polynomials
SIAM Journal on Mathematical Analysis, 1982Two theorems are proved about the zeros of certain Jacobi polynomials that are important in the theory of interpolation and approximation. THEOREM 1. Let$S_k $and$\bar S_k $be the sums of thekth powers of the zeros of$P_n^{(w, - w)} (x)$and$P_n^{(w, - w)} ( - x)$respectively (wreal, $0 < w < 1$). Then for$k = 1,2, \cdots ,2n,S_k
Young, Andrew, Hamideh, Hassan
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Mathematical Proceedings of the Cambridge Philosophical Society, 1969
1. The object of this paper is to prove some formulae of Jacobi polynomials including a generating function. The results (2·l)–(2·4), (2·6)–(2·9), (3·l)–(3·4), and (4·1) are believed to be new.
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1. The object of this paper is to prove some formulae of Jacobi polynomials including a generating function. The results (2·l)–(2·4), (2·6)–(2·9), (3·l)–(3·4), and (4·1) are believed to be new.
openaire +2 more sources