distributional
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21: 10.42 Zeros
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►The distribution of the zeros of in the sector in the cases is obtained on rotating Figures 10.21.2, 10.21.4, 10.21.6, respectively, through an angle so that in each case the cut lies along the positive imaginary axis.
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22: 12.11 Zeros
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§12.11(i) Distribution of Real Zeros
…23: 19.33 Triaxial Ellipsoids
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§19.33(iv) Self-Energy of an Ellipsoidal Distribution
►Ellipsoidal distributions of charge or mass are used to model certain atomic nuclei and some elliptical galaxies. …In suitable units the self-energy of the distribution is given by …24: Bibliography Z
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Distribution of zeros of Gauss and Kummer hypergeometric functions. A semiclassical approach.
Ann. Numer. Math. 2 (1-4), pp. 457–472.
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Distribution Theory and Transform Analysis, An Introduction and Generalized Functions with Applications.
Dover, New York.
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25: 25.16 Mathematical Applications
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§25.16(i) Distribution of Primes
►In studying the distribution of primes , Chebyshev (1851) introduced a function (not to be confused with the digamma function used elsewhere in this chapter), given by …26: 27.2 Functions
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27.2.1
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►Tables of primes (§27.21) reveal great irregularity in their distribution.
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27.2.3
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27: Bibliography O
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Tables of Fourier Transforms and Fourier Transforms of Distributions.
Springer-Verlag, Berlin.
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On the distribution of spacings between zeros of the zeta function.
Math. Comp. 48 (177), pp. 273–308.
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Distribution of the partition function modulo
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Ann. of Math. (2) 151 (1), pp. 293–307.
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28: Bibliography H
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Sur la distribution des zéros de la fonction et ses conséquences arithmétiques.
Bull. Soc. Math. France 24, pp. 199–220 (French).
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On the distribution of the zeros of generalized Airy functions.
Math. Comp. 29 (131), pp. 863–877.
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Algorithm 395: Student’s t-distribution.
Comm. ACM 13 (10), pp. 617–619.
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Algorithm 571: Statistics for von Mises’ and Fisher’s distributions of directions: , and their inverses [S14].
ACM Trans. Math. Software 7 (2), pp. 233–238.
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29: 7.3 Graphics
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