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In mathematics, Racah polynomials are orthogonal polynomials named after Giulio Racah, as their orthogonality relations are equivalent to his orthogonality relations for Racah coefficients.
The Racah polynomials were first defined by Wilson (1978) and are given by
In mathematics, Racahpolynomials are orthogonal polynomials named after Giulio Racah, as their orthogonality relations are equivalent to his orthogonality...
Newton polynomial Orthogonal polynomials Orthogonal polynomials on the unit circle Permutation polynomialRacahpolynomials Rogers polynomials Rogers–Szegő...
1958, Racah was awarded the Israel Prize in exact sciences. Racah W-coefficient Racah parameter RacahpolynomialsRacah seniority number Racah Lectures...
In mathematics, an orthogonal polynomial sequence is a family of polynomials such that any two different polynomials in the sequence are orthogonal to...
mathematics, the dual Hahn polynomials are a family of orthogonal polynomials in the Askey scheme of hypergeometric orthogonal polynomials. They are defined on...
other special polynomials, are included. Contents: Top 0–9 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Niels Abel: Abel polynomials - Abelian function...
organizing orthogonal polynomials of hypergeometric or basic hypergeometric type into a hierarchy. For the classical orthogonal polynomials discussed in Andrews...
mathematics, the Hahn polynomials are a family of orthogonal polynomials in the Askey scheme of hypergeometric orthogonal polynomials, introduced by Pafnuty...
greatest common divisor polynomial g(x) of two polynomials a(x) and b(x) is defined as the product of their shared irreducible polynomials, which can be identified...
correspond to harmonic homogeneous polynomials, i.e. homogeneous polynomials which are solutions to Laplace's equation. Racah's normalization (also known as...
invariants of higher order, which correspond to homogeneous symmetric polynomials of higher order. Suppose that g {\displaystyle {\mathfrak {g}}} is an...
homogenous polynomials in the basis elements e a {\displaystyle e_{a}} of the Lie algebra. The Casimir invariants are the irreducible homogenous polynomials of...
R_{\ell }^{m}(\mathbf {r} _{i})} is a regular solid harmonic function in Racah's normalization (also known as Schmidt's semi-normalization). If the molecule...
properties of the three non-trivial forms of the CGC, namely, the Wigner-Racah, the van der Waerden and the Majumdar form. The success of the above approach...
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![{\displaystyle p_{n}(x(x+\gamma +\delta +1))={}_{4}F_{3}\left[{\begin{matrix}-n&n+\alpha +\beta +1&-x&x+\gamma +\delta +1\\\alpha +1&\gamma +1&\beta +\delta +1\\\end{matrix}};1\right].}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2f8669e91de2c035849fc87d8ce46aa12600695e)