D. Karayannakis
Published 2008-02-14Version 1
We re-confirm, for the case of the unit p-ball of R^n, one of recent conjectures of G.Kuperberg on centrally symmetric convex bodies.This conjecture was very recently confirmrd for this particular case by D.A.Gutierrez using polygamma functions and convexity theory.We present another proof using only the basic properties of gamma function and mildly advanced classical analysis tools.
Comments: 4 pages,a result among others in a poster to appear at the 5th European Congress of Mathematics in Amsterdam under the title " lp(R^n) ramifications of a gamma functions ratio formula"
Integration of monomials over the unit spere and unit ball in $R^n$
A class of special functions using Fourier transforms of orthogonal polynomials on the unit ball
A Pick function related to the sequence of volumes of the unit ball in n-space
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