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A note on the recursive calculation of incomplete gamma functions. (English) Zbl 0962.65018
Summary: It is known that the recurrence relation for incomplete gamma function {γ(a+n,x)}, 0α<1, n=0,1,2,, when x is positive, is unstable – more so the larger x. Nevertheless, the recursion can be used in the range 0nx practically without error growth, and in larger ranges 0nN with a loss of accuracy that can be controlled by suitably limiting N.
MSC:
65D20Computation of special functions, construction of tables
33B20Incomplete beta and gamma functions