Skew log-concavity of the Boros-Moll sequences
نویسنده
چکیده
Let [Formula: see text] be a triangular array of numbers. We say that [Formula: see text] is skew log-concave if for any fixed n, the sequence [Formula: see text] is log-concave. In this paper, we show that the Boros-Moll sequences are almost skew log-concave.
منابع مشابه
Brändén’s Conjectures on the Boros-Moll Polynomials
We prove two conjectures of Brändén on the real-rootedness of the polynomials Qn(x) and Rn(x) which are related to the Boros-Moll polynomials Pn(x). In fact, we show that both Qn(x) and Rn(x) form Sturm sequences. The first conjecture implies the 2-log-concavity of Pn(x), and the second conjecture implies the 3-log-concavity of Pn(x). AMS Classification 2010: Primary 26C10; Secondary 05A20, 30C15.
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ورودعنوان ژورنال:
دوره 2017 شماره
صفحات -
تاریخ انتشار 2017