Buxtehudes Orgel-Chaconne in c-Moll

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Albert Moll Sources and Bibliography

During the research for this project a large number of archives and libraries were consulted which hold material by, or referring to, Albert Moll. The majority of the printed material can be found in libraries in Berlin – Staatsbibliothek Berlin [State Library Berlin], Bibliothek der Humboldt-Universität zu Berlin [Library of the Humboldt-University] and Zentralund Landesbibliothek Berlin [Cent...

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Skew log-concavity of the Boros-Moll sequences

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.

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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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ژورنال

عنوان ژورنال: Anuario Musical

سال: 2019

ISSN: 1988-4125,0211-3538

DOI: 10.3989/anuariomusical.1996.i51.307