Properties of three functions relating to the exponential function and the existence of partitions of unity

Mathematics – Classical Analysis and ODEs

Scientific paper

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5 pages

Scientific paper

In the paper, the author studies properties of three functions relating to
the exponential function and the existence of partitions of unity, including
accurate and explicit computation of their derivatives, analyticity, complete
monotonicity, logarithmically complete monotonicity, absolute monotonicity, and
the like.

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