Inequalities and Bounds for the Incomplete Gamma Function
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Inequalities involving the incomplete gamma function are established. They are obtained using logarithmic convexity of some function associated with the function in question. Lower and upper bounds for the incomplete gamma function are also derived. Bounds for the error function erf are also established.
Mathematics Subject Classification (2000)Primary 33B20 Secondary 26D07
KeywordsIncomplete gamma function Logarithmic convexity Dirichlet average Weighted logarithmic mean Error function Inequalities Lower and upper bounds
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