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Inequalities for the incomplete gamma and related functions. (English) Zbl 0916.33001
The authors offer lower and upper estimates for $$\int_{0}^{x}e^{t^{p}}dt$$ and for the similar function with $$-t^{p}$$ in the exponent, furthermore examples showing that these are not comparable to those found by H. Alzer (Math.Comp. 66, 771-778 (1997; Zbl 0865.33002).

##### MSC:
 33B20 Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) 26D07 Inequalities involving other types of functions 26D15 Inequalities for sums, series and integrals
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