A note on the recursive calculation of incomplete gamma functions

@article{Gautschi1999ANO,
  title={A note on the recursive calculation of incomplete gamma functions},
  author={W. Gautschi},
  journal={ACM Trans. Math. Softw.},
  year={1999},
  volume={25},
  pages={101-107}
}
  • W. Gautschi
  • Published 1999
  • Mathematics, Computer Science
  • ACM Trans. Math. Softw.
It is known that the recurrence relation for incomplete gamma functions {γ(<italic>a</italic> + <italic>n</italic>, <italic>x</italic >)}, 0 ≤ <italic>a</italic> < 1, <italic>n</italic> = 0, 1, 2 ..., when <italic>x</italic> is positive, is unstable—more so the larger <italic>x</italic>. Nevertheless, the recursion can be used in the range 0 ≤ <italic>n</italic> ≤ <italic>x</italic> practically without error growth, and in larger ranges 0 ≤ <italic>n</italic> ≤ <italic>N</italic> with a loss of… Expand
Algorithm 926: Incomplete Gamma Functions with Negative Arguments
Computing the Incomplete Gamma Function to Arbitrary Precision
Computation of matrix gamma function
Analytical evaluation of relativistic molecular integrals. II: Method of computation for molecular auxiliary functions involved
Probability Navigation Function for Stochastic Static Environments
Weighted integral and integro-differential inequalities
  • A. Grinshpan
  • Mathematics, Computer Science
  • Adv. Appl. Math.
  • 2008
...
1
2
...