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Sharp estimates for the fifth coefficient of the inverse functions of the totally monotonic functions

Author: P. Todorov

We find the minimum and the maximum of the fifth coefficient for the inverse functions of the totally monotonic functions.

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Keywords: minimum and maximum, inverse functions, totally monotonic functions, 2000 MSC: primary 30C45, 30C50; secondary 12D10, 26C10, 26C15, 30B10, 30C10,, 30C15

2000 MSC: main 30C45, 30C50, secondary 12D10, 26C10, 26C15, 30B10, 30C10, 30C15