§8.26 Tables

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Contents

§8.26(i) Introduction
§8.26(ii) Incomplete Gamma Functions
§8.26(iii) Incomplete Beta Functions
§8.26(iv) Generalized Exponential Integral

§8.26(i) Introduction

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For tables published before 1961 see Fletcher et al. (1962) and Lebedev and Fedorova (1960).

§8.26(ii) Incomplete Gamma Functions

Keywords:: incomplete gamma functions
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Khamis (1965) tabulates $\mathop{P\/}\nolimits\!\left(a,x\right)$ for $a=0.05(.05)10(.1)20(.25)70$ , $0.0001\leq x\leq 250$ to 10D.
Pagurova (1963) tabulates $\mathop{P\/}\nolimits\!\left(a,x\right)$ and $\mathop{Q\/}\nolimits\!\left(a,x\right)$ (with different notation) for $a=0(.05)3$ , $x=0(.05)1$ to 7D.
Pearson (1965) tabulates the function $I(u,p)$ ( $=\mathop{P\/}\nolimits\!\left(p+1,u\right)$ ) for $p=-1(.05)0(.1)5(.2)50$ , $u=0(.1)u_{p}$ to 7D, where $I(u,u_{p})$ rounds off to 1 to 7D; also $I(u,p)$ for $p=-0.75(.01)-1$ , $u=0(.1)6$ to 5D.
Zhang and Jin (1996, Table 3.8) tabulates $\mathop{\gamma\/}\nolimits\!\left(a,x\right)$ for $a=0.5,1,3,5,10,25,50,100$ , $x=0(.1)1(1)3,5(5)30,50,100$ to 8D or 8S.

§8.26(iii) Incomplete Beta Functions

Keywords:: incomplete beta functions
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Pearson (1968) tabulates $\mathop{I_{{x}}\/}\nolimits\!\left(a,b\right)$ for $x=0.01(.01)1$ , $a,b=0.5(.5)11(1)50$ , with $b\leq a$ , to 7D.
Zhang and Jin (1996, Table 3.9) tabulates $\mathop{I_{{x}}\/}\nolimits\!\left(a,b\right)$ for $x=0(.05)1$ , $a=0.5,1,3,5,10$ , $b=1,10$ to 8D.

§8.26(iv) Generalized Exponential Integral

Keywords:: generalized exponential integral
Permalink:: http://dlmf.nist.gov/8.26.iv

Abramowitz and Stegun (1964, pp. 245–248) tabulates $\mathop{E_{{n}}\/}\nolimits\!\left(x\right)$ for $n=2,3,4,10,20$ , $x=0(.01)2$ to 7D; also $(x+n)e^{x}\mathop{E_{{n}}\/}\nolimits\!\left(x\right)$ for $n=2,3,4,10,20$ , $x^{{-1}}=0(.01)0.1(.05)0.5$ to 6S.
Chiccoli et al. (1988) presents a short table of $\mathop{E_{{p}}\/}\nolimits\!\left(x\right)$ for $p=-\tfrac{9}{2}(1)-\tfrac{1}{2}$ , $0\leq x\leq 200$ to 14S.
Pagurova (1961) tabulates $\mathop{E_{{n}}\/}\nolimits\!\left(x\right)$ for $n=0(1)20$ , $x=0(.01)2(.1)10$ to 4-9S; $e^{x}\mathop{E_{{n}}\/}\nolimits\!\left(x\right)$ for $n=2(1)10$ , $x=10(.1)20$ to 7D; $e^{x}\mathop{E_{{p}}\/}\nolimits\!\left(x\right)$ for $p=0(.1)1$ , $x=0.01(.01)7(.05)12(.1)20$ to 7S or 7D.
Stankiewicz (1968) tabulates $\mathop{E_{{n}}\/}\nolimits\!\left(x\right)$ for $n=1(1)10$ , $x=0.01(.01)5$ to 7D.
Zhang and Jin (1996, Table 19.1) tabulates $\mathop{E_{{n}}\/}\nolimits\!\left(x\right)$ for $n=1,2,3,5,10,15,20$ , $x=0(.1)1,1.5,2,3,5,10,20,30,50,100$ to 7D or 8S.