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arXiv · 1408.6715

More convex functions by Artin`s method

Martin Himmel
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Abstract

First we recall the notion of conxity and log-convexity for real-valued. Then we generalize the trick used by Artin in his famous paper on the Gamma function to find log-convex solutions to the functional equations f(x+1)=g(x)f(x). This gives rise to understand a function by its representer.

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Martin Himmel. 2014-08-23. More convex functions by Artin`s method. https://arxiv.org/abs/1408.6715

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