Poisson integral
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1—10 of 12 matching pages
1: 1.15 Summability Methods
2: 1.9 Calculus of a Complex Variable
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Poisson Integral
…3: 10.9 Integral Representations
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Poisson’s and Related Integrals
…4: 19.18 Derivatives and Differential Equations
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►The next four differential equations apply to the complete case of and in the form (see (19.16.20) and (19.16.23)).
►The function satisfies an Euler–Poisson–Darboux equation:
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5: Bibliography K
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Tables of the Incomplete Gamma Function Ratio: The Chi-square Integral, the Poisson Distribution.
Justus von Liebig Verlag, Darmstadt (German, English).
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6: Bibliography H
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Une -intégrale de Selberg et Askey.
SIAM J. Math. Anal. 19 (6), pp. 1475–1489.
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Certain integrals that contain a probability function.
Bul. Akad. Štiince RSS Moldoven. 1975 (2), pp. 86–88, 95 (Russian).
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Elliptic Integrals.
Dover Publications Inc., New York.
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Algorithm AS66: The normal integral.
Appl. Statist. 22 (3), pp. 424–427.
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Solutions of Poisson’s equation in channel-like geometries.
Comput. Phys. Comm. 115 (1), pp. 45–68.
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7: 1.8 Fourier Series
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1.8.10
as .
►(1.8.10) continues to apply if either or or both are infinite and/or has finitely many singularities in , provided that the integral converges uniformly (§1.5(iv)) at , and the singularities for all sufficiently large .
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Poisson’s Summation Formula
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1.8.15
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1.8.16
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8: Bibliography B
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A note on integrals involving parabolic cylinder functions.
SIAM J. Appl. Math. 16 (1), pp. 71–74.
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Numerical calculation of a generalized complete elliptic integral.
Rev. Mod. Phys. 10, pp. 264–269.
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Normalization integrals of orthogonal Heun functions.
J. Math. Phys. 38 (7), pp. 3692–3699.
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Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications.
J. Number Theory 7 (4), pp. 413–445.
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On a generalization of Barton’s integral and related integrals of complete elliptic integrals.
Math. Proc. Cambridge Philos. Soc. 101 (1), pp. 1–5.
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9: 3.5 Quadrature
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►See also Poisson’s summation formula (§1.8(iv)).
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§3.5(vii) Oscillatory Integrals
►Integrals of the form … ► … ►For the Bromwich integral …10: 14.31 Other Applications
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