Abstract. For f analytic and close to convex in D = {z : |z| < 1}, we give sharp estimates for the logarithmic coefficients γn of f defined by log f ( z ) z = 2 ∑ n = 1 ∞ γ n z n when n = 1, 2, 3.

The aim of this essay is to create a geometrical link between the music theory and the mathematics of the early seventeenth century by studying and comparing diagrams which directly or indirectly ...