Exact lower and upper bounds on the incomplete gamma function
Department of Mathematical Sciences
Lower and upper bounds Ba(x) on the incomplete gamma function Γ(a,x) are given for all real a and all real x>0. These bounds Ba(x) are exact in the sense that Ba(x) ∼ Γ(a,x) x↓0 and Ba(x) ∼ Γ(a,x). Moreover, the relative errors of these bounds are rather small for other x→∞ values of x, away from 0 and ∞.
Mathematical Inequalities and Applications
Exact lower and upper bounds on the incomplete gamma function.
Mathematical Inequalities and Applications,
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