Laurent polynomial
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6 matching pages ♦
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6 matching pages
1: 18.38 Mathematical Applications
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Zhedanov Algebra
►A symmetric Laurent polynomial is a function of the form …Define operators and acting on symmetric Laurent polynomials by ( given by (18.28.6_2)) and . … ►The Dunkl type operator is a -difference-reflection operator acting on Laurent polynomials and its eigenfunctions, the nonsymmetric Askey–Wilson polynomials, are linear combinations of the symmetric Laurent polynomial and the ‘anti-symmetric’ Laurent polynomial , where is given in (18.28.1_5). …2: Bibliography H
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Orthogonal Laurent polynomials.
Nederl. Akad. Wetensch. Indag. Math. 48 (1), pp. 17–36.
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3: 18.33 Polynomials Orthogonal on the Unit Circle
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►See Gasper (1981) and Hendriksen and van Rossum (1986) for relations with Laurent polynomials orthogonal on the unit circle.
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4: Bibliography C
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Basic hypergeometric functions and orthogonal Laurent polynomials.
Proc. Amer. Math. Soc. 140 (6), pp. 2075–2089.
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5: 25.2 Definition and Expansions
6: 2.10 Sums and Sequences
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►As in §24.2, let and denote the th Bernoulli number and polynomial, respectively, and the th Bernoulli periodic function .
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(c)
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§2.10(iv) Taylor and Laurent Coefficients: Darboux’s Method
►Let be analytic on the annulus , with Laurent expansion … ►The coefficients in the Laurent expansion
2.10.27
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have known asymptotic behavior as .