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Alternating permutations: from Désiré André to the present time

What Arbeitsgemeinschaft Diskrete Mathematik
When 2012-06-12
from 15:15 to 16:45
Where TU Institut für Diskrete Mathematik und Geometrie, Freihaus, grüner Turm (A), 8. Stock, Dissertantenr., Wiedner Hauptst. 8-10, 1040 Wien
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Dominique Foata (Inst. Lothaire, Strasbourg)

 

Abstract. Thanks to Désiré André (1881) the coefficients of the Taylor expansions of tangent and secant have been given a handy combinatorial interpretation in terms of alternating permutations. Since then, the geometry of those permutations has been used to build up a combinatorial theory of the q-trigonometric series, and more recently of the q-derivative polynomials.

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