Geodesic
On stratifications of Mittag-Leffler's transcendents
Glasgow mathematical journal, Tome 2 (1958) no. 4, pp. 170-172

Voir la notice de l'article provenant de la source Cambridge University Press

Guided by an observation of Hausdorff ([4]; reproduced by Whittaker and Robinson [6, pp. 177–178]), I pointed out a long time ago [7] that his “Fourier“ treatment of certain products can be systematized so as to apply to an inclusive class of infinite convolutions. Recently I noticed [8] that an appropriate application of this method supplies the following curious result on gamma-quotients:Corresponding to every index θ on the range 0 < θ < 1, there exists on the line - ∞ < t < ∞ a monotone function μ = μθ = μθ(t) in terms of which the identityholds on the half-plane Re z > -1 and so, in particular, on the half-line z ≧0. 
Wintner, Aurel. On stratifications of Mittag-Leffler's transcendents. Glasgow mathematical journal, Tome 2 (1958) no. 4, pp. 170-172. doi: 10.1017/S2040618500033669
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