13 Confluent Hypergeometric Functions Computation 13.29 Methods of Computation 13.31 Approximations

§13.30 Tables

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Keywords:: Kummer functions, tables
Permalink:: http://dlmf.nist.gov/13.30
See also:: Annotations for Ch.13

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Žurina and Osipova (1964) tabulates $M\left(a,b,x\right)$ and $U\left(a,b,x\right)$ for $b=2$ , $a=-0.98(.02)1.10$ , $x=0(.01)4$ , 7D or 7S.
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Slater (1960) tabulates $M\left(a,b,x\right)$ for $a=-1(.1)1$ , $b=0.1(.1)1$ , and $x=0.1(.1)10$ , 7–9S; $M\left(a,b,1\right)$ for $a=-11(.2)2$ and $b=-4(.2)1$ , 7D; the smallest positive $x$ -zero of $M\left(a,b,x\right)$ for $a=-4(.1){-}0.1$ and $b=0.1(.1)2.5$ , 7D.
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Abramowitz and Stegun (1964, Chapter 13) tabulates $M\left(a,b,x\right)$ for $a=-1(.1)1$ , $b=0.1(.1)1$ , and $x=0.1(.1)1(1)10$ , 8S. Also the smallest positive $x$ -zero of $M\left(a,b,x\right)$ for $a=-1(.1){-}0.1$ and $b=0.1(.1)1$ , 7D.
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Zhang and Jin (1996, pp. 411–423) tabulates $M\left(a,b,x\right)$ and $U\left(a,b,x\right)$ for $a=-5(.5)5$ , $b=0.5(.5)5$ , and $x=0.1,1,5,10,20,30$ , 8S (for $M\left(a,b,x\right)$ ) and 7S (for $U\left(a,b,x\right)$ ).

For other tables prior to 1961 see Fletcher et al. (1962) and Lebedev and Fedorova (1960).

13.29 Methods of Computation 13.31 Approximations

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§13.30 Tables

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