Geodesic
The special function ش , II
Kragujevac Journal of Mathematics, Tome 29 (2006) no. 1.

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We describe a method for estimating the special function ^s> , in the complex cut plane $A = {\mathbf{C}}\backslash łeft( { - \infty ,0} \right]$, with a Stieltjes transform, which implies that the function ^s> is \textit{logarithmically completely monotonic}. To be complete, we find a nearly exact integral representation. At the end, we also establish that $1 \mathord{łeft/ {\vphantom {1 }} \right. \kern-\nulldelimiterspace} \mbox{^s>} łeft( x \right)$ is a complete Bernstein function and we give the representation formula which is analogous to the L\'evy-Khinchin formula. 
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     author = {Andrea Ossicini},
     title = {The special function ش , {II}},
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Andrea Ossicini. The special function ش , II. Kragujevac Journal of Mathematics, Tome 29 (2006) no. 1. http://geodesic.mathdoc.fr/item/KJM_2006_29_1_a13/