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13 Confluent Hypergeometric FunctionsComputation

§13.30 Tables

  • Žurina and Osipova (1964) tabulates M(a,b,x) and U(a,b,x) for b=2, a=-0.98(.02)1.10, x=0(.01)4, 7D or 7S.

  • Slater (1960) tabulates M(a,b,x) for a=-1(.1)1, b=0.1(.1)1, and x=0.1(.1)10, 7–9S; M(a,b,1) for a=-11(.2)2 and b=-4(.2)1, 7D; the smallest positive x-zero of M(a,b,x) for a=-4(.1)-0.1 and b=0.1(.1)2.5, 7D.

  • Abramowitz and Stegun (1964, Chapter 13) tabulates M(a,b,x) 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(a,b,x) for a=-1(.1)-0.1 and b=0.1(.1)1, 7D.

  • Zhang and Jin (1996, pp. 411–423) tabulates M(a,b,x) and U(a,b,x) for a=-5(.5)5, b=0.5(.5)5, and x=0.1,1,5,10,20,30, 8S (for M(a,b,x)) and 7S (for U(a,b,x)).

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