LOG-CONCAVITY

作品数：7被引量：4H指数：1
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LOG-CONCAVITY OF THE FIRST DIRICHLET EIGENFUNCTION OF SOME ELLIPTIC DIFFERENTIAL OPERATORS AND CONVEXITY INEQUALITIES FOR THE RELEVANT EIGENVALUE
《Acta Mathematica Scientia》2025年第1期143-152,共10页Andrea COLESANTI 
supported by the project Disuguaglianze analitiche e geometriche,funded by the Gruppo per Analisi Matematica la Probabilitàe le loro Applicazioni.
Given an open bounded subset Ω of ℝ^(n) we consider the eigenvalue problem{Δu-(■u,■V)=-λvu,u>0inΩ,u=0 onδΩ,where V is a given function defined inΩandλV is the relevant eigenvalue.We determine sufficient cond...
关键词：EIGENVALUE LOG-CONCAVITY elliptic operator Brunn-Minkowski inequality convex body 
The q-log-concavity of q-ballot numbers
《Frontiers of Mathematics in China》2024年第5期247-254,共8页Xinmiao LIU Jiangxia HOU Fengxia LIU 
Carlitz and Riordan introduced the q-analogue f_(q)(n,k)of ballot numbers.In this paper,using the combinatorial interpretation of f_(q)(n,k)and constructing injections,we prove that f_(q)(n,k)is q-log-concave with res...
关键词：q-log-concavity q-ballot number lattice path INVERSION 
The Log-Concavity of Kazhdan-Lusztig Polynomials of Uniform Matroids
《Journal of Systems Science & Complexity》2023年第1期117-128,共12页XIE Matthew H Y ZHANG Philip B 
supported by the National Natural Science Foundation of China under Grant Nos.11901431 and 12171362.
Elias,et al.(2016)conjectured that the Kazhdan-Lusztig polynomial of any matroid is logconcave.Inspired by a computer proof of Moll’s log-concavity conjecture given by Kauers and Paule,the authors use a computer alge...
关键词：HolonomicFunctions Kazhdan-Lusztig polynomial LOG-CONCAVITY uniform matroid 
Unimodality of Independence Polynomials of the Cycle Cover Product of Graphs被引量：1
《Acta Mathematica Sinica,English Series》2022年第5期858-868,共11页Bao Xuan ZHU 
Supported by National Natural Science Foundation of China(Grant Nos.11971206,12022105);Natural Science Foundation for Distinguished Young Scholars of Jiangsu Province(Grant No.BK20200048)。
An independent set in a graph G is a set of pairwise non-adjacent vertices.Let ik(G)denote the number of independent sets of cardinality k in G.Then its generating function I(G;x)=∑^(α(G))^(k=0)ik(G)x^(k),is called ...
关键词：Independence polynomials UNIMODALITY LOG-CONCAVITY real zeros SYMMETRY cycle cover product of graphs 
New Results on Truncated Elliptical Distributions
《Communications in Mathematics and Statistics》2021年第3期299-313,共15页Raul Alejandro Moran-Vasquez Silvia L.P.Ferrari 
Conselho Nacional de Desenvolvi-mento Cientifico e Tecnologico-CNPq(Grant No.305963-2018-0).
Truncated elliptical distributions occur naturally in theoretical and applied statistics and are essential for the study of other classes of multivariate distributions.Two members of this class are the multivariate tr...
关键词：Elliptical distribution LOG-CONCAVITY Multivariate power exponential distribution Multivariate slash distribution Truncated distribution 
Sun's Log-concavity Conjecture on the Catalan–Larcombe–French Sequence被引量：1
《Acta Mathematica Sinica,English Series》2016年第5期553-558,共6页James J.Y.ZHAO 
Supported by the 863 Program and the National Science Foundation of China
Let {Pn},n≥0 denote the Catalan-Larcombe-French sequence, which naturally came from the series expansion of the complete elliptic integral of the first kind. In this paper, we prove the strict log-concavity of the se...
关键词：The Catalan-Larcombe-French sequence the Fennessey-Larcombe-French sequence logconcavity three-term recurrence relation 
Proofs of some conjectures on monotonicity of number-theoretic and combinatorial sequences被引量：2
《Science China Mathematics》2014年第11期2429-2435,共7页WANG Yi ZHU BaoXuan 
supported by National Natural Science Foundation of China(Grant Nos.11071030,11201191 and 11371078);Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20110041110039);National Science Foundation of Jiangsu Higher Education Institutions(GrantNo.12KJB110005);the Priority Academic Program Development of Jiangsu Higher Education Institutions(Grant No.11XLR30)
In 2012,Zhi-Wei Sun posed many conjectures about the monotonicity of sequences of form {n√zn},where {zn} is a familiar number-theoretic or combinatorial sequence. We show that if the sequence {zn+1/zn}is increasing(r...
关键词：SEQUENCES MONOTONICITY LOG-CONVEXITY LOG-CONCAVITY 
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