Geodesic
Critical values of generating functions of totally positive sequences
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2004), pp. 421-433.

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We obtain a parametric description of generating functions of one sided totally positive sequences in terms of critical values of these generating functions. 
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     author = {A. Eremenko},
     title = {Critical values of generating functions of totally positive sequences},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
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     url = {http://geodesic.mathdoc.fr/item/JMAG_2004_11_a3/}
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A. Eremenko. Critical values of generating functions of totally positive sequences. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2004), pp. 421-433. http://geodesic.mathdoc.fr/item/JMAG_2004_11_a3/