Proofs of some conjectures on monotonicity of number-theoretic and combinatorial sequences

Author:

Wang Yi,Zhu BaoXuan

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference23 articles.

1. Amdeberhan T, Moll V H, Vignat C. A probabilistic interpretation of a sequence related to Narayana polynomials. Online J Anal Comb, 2013, 8: 25pp

2. Brenti F. Log-concave and unimodal sequences in algebra, combinatorics, and geometry: An update. Contemp Math, 1994, 178: 71–89

3. Chen W Y C. Recent developments of log-concavity and q-log-concavity of combinatorial polynomials. San Francisco, CA: A talk given at the 22nd Inter Confer on Formal Power Series and Algebraic Combin, 2010, http://www.billchen.org/talks/Index.html

4. Chen W Y C, Guo J J F, Wang L X W. Zeta functions and the log-behavior of combinatorial sequences. Proc Edinburgh Math Soc (2), in press

5. Chen W Y C, Guo J J F, Wang L X W. Infinitely logarithmically monotonic combinatorial sequences. Adv Appl Math, 2014, 52: 99–120

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