# distributions

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## 21—30 of 68 matching pages

##### 22: 19.33 Triaxial Ellipsoids
###### §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 …
##### 23: Bibliography J
• A. T. James (1964) Distributions of matrix variates and latent roots derived from normal samples. Ann. Math. Statist. 35 (2), pp. 475–501.
• N. L. Johnson, S. Kotz, and N. Balakrishnan (1994) Continuous Univariate Distributions. 2nd edition, Vol. I, John Wiley & Sons Inc., New York.
• N. L. Johnson, S. Kotz, and N. Balakrishnan (1995) Continuous Univariate Distributions. 2nd edition, Vol. II, John Wiley & Sons Inc., New York.
• ##### 24: 25.16 Mathematical Applications
###### §25.16(i) Distribution of Primes
In studying the distribution of primes $p\leq x$, Chebyshev (1851) introduced a function $\psi\left(x\right)$ (not to be confused with the digamma function used elsewhere in this chapter), given by …
##### 25: 27.2 Functions
Tables of primes (§27.21) reveal great irregularity in their distribution. …
27.2.3 $\pi\left(x\right)\sim\frac{x}{\ln x}.$
##### 26: Bibliography O
• F. Oberhettinger (1990) Tables of Fourier Transforms and Fourier Transforms of Distributions. Springer-Verlag, Berlin.
• A. M. Odlyzko (1987) On the distribution of spacings between zeros of the zeta function. Math. Comp. 48 (177), pp. 273–308.
• K. Ono (2000) Distribution of the partition function modulo $m$ . Ann. of Math. (2) 151 (1), pp. 293–307.
• ##### 27: Bibliography H
• J. Hadamard (1896) Sur la distribution des zéros de la fonction $\zeta(s)$ et ses conséquences arithmétiques. Bull. Soc. Math. France 24, pp. 199–220 (French).
• V. B. Headley and V. K. Barwell (1975) On the distribution of the zeros of generalized Airy functions. Math. Comp. 29 (131), pp. 863–877.
• G. W. Hill (1970) Algorithm 395: Student’s t-distribution. Comm. ACM 13 (10), pp. 617–619.
• G. W. Hill (1981) Algorithm 571: Statistics for von Mises’ and Fisher’s distributions of directions: $I_{1}(x)/I_{0}(x)$, $I_{1.5}(x)/I_{0.5}(x)$ and their inverses [S14]. ACM Trans. Math. Software 7 (2), pp. 233–238.
##### 29: 16.23 Mathematical Applications
In Janson et al. (1993) limiting distributions are discussed for the sparse connected components of these graphs, and the asymptotics of three ${{}_{2}F_{2}}$ functions are applied to compute the expected value of the excess. …
##### 30: Philip J. Davis
He also had a big influence on the development of the NBS Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (A&S), which became one of the most widely distributed and highly cited publications in NIST’s history. …