A Solution to fourth Qi's Conjecture on a complete monotonicity
نویسندگان
چکیده
منابع مشابه
complete solution to a conjecture of zhang-liu-zhou
let $d_{n,m}=big[frac{2n+1-sqrt{17+8(m-n)}}{2}big]$ and $e_{n,m}$ be the graph obtained from a path $p_{d_{n,m}+1}=v_0v_1 cdots v_{d_{n,m}}$ by joining each vertex of $k_{n-d_{n,m}-1}$ to $v_{d_{n,m}}$ and $v_{d_{n,m}-1}$, and by joining $m-n+1-{n-d_{n,m}choose 2}$ vertices of $k_{n-d_{n,m}-1}$ to $v_{d_{n,m}-2}$. zhang, liu and zhou [on the maximal eccentric connectivity ind...
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has non-negative power series coefficients. The purpose of this note is prove the Conjecture. The conjecture has been established for prime values of n by Andrews [1], and for n ≤ 99, using a computer proof (see [2], [4]). The proof given here relies upon an identity for the rational function of the conjecture, which is our Lemma. A similar identity was found by Andrews [1] to establish the cas...
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Xueliang Li a, Haixing Zhao b and Lusheng Wang c a Center for Combinatorics, Nankai University, Tianjin 300071, P.R. China E-mail: [email protected] b Department of Computer Science and Engineering, Northwestern Polytechnical University, Xi’an, Shaanxi 710072, P.R. China E-mail: [email protected] c Department of Computer Science, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, P....
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ژورنال
عنوان ژورنال: Issues of Analysis
سال: 2020
ISSN: 2306-3432
DOI: 10.15393/j3.art.2020.8030