Log-concave sequences of bisnomial coefficients with their analogs and symmetric functions.

Autor: Bazeniar, Abdelghafour, Ahmia, Moussa, Bouchair, Abderrahmane
Zdroj: Indian Journal of Pure & Applied Mathematics; Mar2022, Vol. 53 Issue 1, p127-137, 11p
Abstrakt: In this paper, we prove the strong log-concavity and the unimodality of the various sequences of an extension of elementary symmetric function. The principal technique used is a combinatorial interpretation of determinants using lattice paths due to Gessel and Viennot. As applications, we establish the strong q-log-concavity and the unimodality of q-bi s nomial coefficients and their sequences lying on rays of the associated triangle. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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