Preservation of log-concavity on summation
暂无分享,去创建一个
[1] F. Brenti,et al. Expansions of chromatic polynomials and log-concavity , 1992 .
[2] S. G. Hoggar. Chromatic polynomials and logarithmic concavity , 1974 .
[3] M. Bagnoli,et al. Log-concave probability and its applications , 2004 .
[4] Miklós Bóna,et al. Combinatorial Proof of the Log-Concavity of the Numbers of Permutations with k Runs , 2000, J. Comb. Theory, Ser. A.
[5] J. Rochet,et al. COMPETING MECHANISMS IN A COMMON VALUE ENVIRONMENT , 2000 .
[6] H. Wilf. generatingfunctionology: Third Edition , 1990 .
[7] Yeong-Nan Yeh,et al. Log-concavity and LC-positivity , 2007, J. Comb. Theory, Ser. A.
[8] R. Stanley. Log‐Concave and Unimodal Sequences in Algebra, Combinatorics, and Geometry a , 1989 .
[9] E. Lieb. Concavity properties and a generating function for stirling numbers , 1968 .
[10] Constantin P. Niculescu. A NEW LOOK AT NEWTON'S INEQUALITIES , 2000 .
[11] Vesselin Gasharov,et al. On the Neggers-Stanley Conjecture and the Eulerian Polynomials , 1998, J. Comb. Theory, Ser. A.
[12] Bruce E. Sagan,et al. Inductive and injective proofs of log concavity results , 1988, Discret. Math..
[13] Preserving Log-Concavity Under Convolution: Comment , 2002 .
[14] George Polya,et al. On The Product of Two Power Series , 1949, Canadian Journal of Mathematics.
[15] Yeong-Nan Yeh,et al. Polynomials with real zeros and Po'lya frequency sequences , 2005, J. Comb. Theory, Ser. A.
[16] F. Brenti,et al. Unimodal, log-concave and Pólya frequency sequences in combinatorics , 1989 .
[17] Bruce E. Sagan,et al. Inductive proofs of q-log concavity , 1992, Discret. Math..
[18] James G. Oxley,et al. Matroid theory , 1992 .
[19] Yi Wang,et al. Linear transformations preserving log-concavity , 2003 .
[20] K. Joag-dev,et al. Negative Association of Random Variables with Applications , 1983 .