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[null,"1.","Record Nr.",null,"UNINA9910828759003321"]
[null,null,"Autore",null,"Brenti Francesco <1960->"]
[null,null,"Titolo",null,"Unimodal, log-concave and Pólya frequency sequences in combinatorics / / Francesco Brenti"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 1989"]
[{"$nulls":4},"©1989"]
[null,null,"ISBN",null,"1-4704-0836-8"]
[null,null,"Descrizione fisica",null,"1 online resource (118 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 413"]
[null,null,"Disciplina",null,"511/.6"]
[null,null,"Soggetti",null,"Combinatorial analysis"]
[{"$nulls":4},"Sequences (Mathematics)"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"September 1989, Volume 81, Number 413 (fourth of 6 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Foreword\"\"; \"\"Introduction\"\"; \"\"Chapter 1 The Poset Conjecture\"\"; \"\"1.1 Introduction\"\"; \"\"1.2 Statement of the Poset Conjecture\"\"; \"\"1.3 Partial results on the Poset Conjecture\"\"; \"\"1.4 A second look at the Poset Conjecture\"\"; \"\"Chapter 2 A General Theory\"\"; \"\"2.1 Introduction\"\"; \"\"2.2 Polynomials with only real zeros and total positivity\"\"; \"\"2.3 The six fundamental bases and the transition matrices between them\"\"; \"\"2.4 Linear transformations that preserve the PF property\"\"; \"\"2.5 Linear transformations that preserve the PF[sub(2)] property\"\""]
[{"$nulls":4},"\"\"2.6 Summary of results and open problems\"\"\"\"Chapter 3 Ramifications of the General Theory\"\"; \"\"3.1 Introduction\"\"; \"\"3.2 Further properties of the six fundamental bases\"\"; \"\"3.3 The special case of polynomials with no constant term\"\"; \"\"3.4 Eulerian, Lagrange, and Krawtchouk polynomials\"\"; \"\"3.5 Three general problems\"\"; \"\"Chapter 4 Polynomials in PF[([sup(x+d-i)][sub(d)])]\"\"; \"\"4.1 Introduction\"\"; \"\"4.2 Elementary properties of PF[([sup(x+d-i)][sub(d)])]\"\"; \"\"4.3 A Fundamental Theorem\"\"; \"\"4.4 Consequences of the Fundamental Theorem\"\"; \"\"4.5 The characterization of PF-sequences\"\""]
[{"$nulls":4},"\"\"4.6 The characterization of PF[([sup(x+d-i)][sub(d)])]\"\"\"\"4.7 Products of polynomials in PF[([sup(x+d-i)][sub(d)])]\"\"; \"\"Chapter 5 Applications to the Poset Conjecture\"\"; \"\"5.1 Introduction\"\"; \"\"5.2 Ferrers posets\"\"; \"\"5.3 Column strict labeled Ferrers posets and the solution of a conjecture\"\"; \"\"5.4 A class of naturally labeled Ferrers posets\"\"; \"\"5.5 Disjoint unions of chains\"\"; \"\"5.6 Gaussian posets\"\"; \"\"5.7 Necessary and "]
[{"$nulls":4},"sufficient conditions for the Poset Conjecture\"\"; \"\"Chapter 6 Applications to Enumerative Combinatorics\"\"; \"\"6.1 Introduction\"\""]
[{"$nulls":4},"\"\"6.2 PF sequences arising from symmetric functions and Jack polynomials\"\"\"\"6.3 Zeta polynomials of partially ordered sets\"\"; \"\"6.4 Functions of a finite set into itself\"\"; \"\"6.5 Associated Lah numbers\"\"; \"\"6.6 Stirling permutations\"\"; \"\"6.7 Associated Stirling numbers\"\"; \"\"6.8 Colorings of graphs\"\"; \"\"Chapter 7 Polya Frequency Digraphs\"\"; \"\"7.1 Introduction\"\"; \"\"7.2 PF digraphs and the distributive lattice conjecture\"\"; \"\"7.3 A general result\"\"; \"\"7.4 The connection with the theory of symmetric functions\"\"; \"\"7.5 The inversion Theorem\"\"; \"\"7.6 PF[sub(2)] digraphs\"\""]
[{"$nulls":4},"\"\"7.7 Semitransitive digraphs\"\"\"\"Bibliography\"\"; \"\"Appendix\"\"; \"\"Tables\"\""]