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Some properties of a class of logarithmically completely monotonic functions. (English) Zbl 0658.26010
The authors show that under some conditions the sum of affine transformed logarithmically completely monotonic functions of real argument on the positive semi-axis is a function positive everywhere and it approximates a unity function. In the opinion of the authors this last property can be successfully exploited for developing a spectral identification method of a broad class of functions observed in physics, chemistry, biology, etc.
Reviewer: J.Albrycht

MSC:
26A48 Monotonic functions, generalizations
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