Rodrigues-type formulas
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21—30 of 241 matching pages
21: 30.10 Series and Integrals
22: 31.18 Methods of Computation
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►Subsequently, the coefficients in the necessary connection formulas can be calculated numerically by matching the values of solutions and their derivatives at suitably chosen values of ; see Laĭ (1994) and Lay et al. (1998).
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23: 25.10 Zeros
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§25.10(ii) Riemann–Siegel Formula
… ►Sign changes of are determined by multiplying (25.9.3) by to obtain the Riemann–Siegel formula: ►
25.10.3
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►Calculations based on the Riemann–Siegel formula reveal that the first ten billion zeros of in the critical strip are on the critical line (van de Lune et al. (1986)).
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24: 24.17 Mathematical Applications
25: 36.4 Bifurcation Sets
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§36.4(i) Formulas
… ► , cusp bifurcation set: … ► , swallowtail bifurcation set: … ►Elliptic umbilic bifurcation set (codimension three): for fixed , the section of the bifurcation set is a three-cusped astroid … ►Hyperbolic umbilic bifurcation set (codimension three): …26: 35.2 Laplace Transform
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Inversion Formula
…27: 24.5 Recurrence Relations
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§24.5(iii) Inversion Formulas
…28: 1.8 Fourier Series
29: 16.12 Products
30: 5.19 Mathematical Applications
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