# generators

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##### 2: 16.2 Definition and Analytic Properties
###### Polynomials
Note also that any partial sum of the generalized hypergeometric series can be represented as a generalized hypergeometric function via …
##### 4: 1.16 Distributions
$\Lambda:\mathcal{D}(I)\rightarrow\mathbb{C}$ is called a distribution, or generalized function, if it is a continuous linear functional on $\mathcal{D}(I)$, that is, it is a linear functional and for every $\phi_{n}\to\phi$ in $\mathcal{D}(I)$, … More generally, for $\alpha\colon[a,b]\to[-\infty,\infty]$ a nondecreasing function the corresponding Lebesgue–Stieltjes measure $\mu_{\alpha}$ (see §1.4(v)) can be considered as a distribution: … More generally, if $\alpha(x)$ is an infinitely differentiable function, then … Friedman (1990) gives an overview of generalized functions and their relation to distributions. …
##### 7: 8.16 Generalizations
###### §8.16 Generalizations
For a generalization of the incomplete gamma function, including asymptotic approximations, see Chaudhry and Zubair (1994, 2001) and Chaudhry et al. (1996). Other generalizations are considered in Guthmann (1991) and Paris (2003).
##### 9: 7.16 Generalized Error Functions
###### §7.16 Generalized Error Functions
Generalizations of the error function and Dawson’s integral are $\int_{0}^{x}e^{-t^{p}}\,\mathrm{d}t$ and $\int_{0}^{x}e^{t^{p}}\,\mathrm{d}t$. …
##### 10: 16.26 Approximations
###### §16.26 Approximations
For discussions of the approximation of generalized hypergeometric functions and the Meijer $G$-function in terms of polynomials, rational functions, and Chebyshev polynomials see Luke (1975, §§5.12 - 5.13) and Luke (1977b, Chapters 1 and 9).