Tag Archives: Bernstein function

π/2 conjecture solved

A few posts ago I stated the pi-over-two concecture. Recently, my friend and collegue Jacek Małecki proved it in full generality. (He did it while I was on my vacation in November — sometimes it is good to take a … Continue reading

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π/2 conjecture

The second conjecture in this blog is related to my recent work on Lévy processes. Suppose that x and y are positive reals, and is an increasing function. Then, whenever the integral makes sense, it is equal to . Although … Continue reading

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