A generalized Eulerian triangle from staircase tableaux and tree-like tableaux
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[1] Dominique Foata,et al. Rearrangements of the symmetric group and enumerative properties of the tangent and secant numbers , 1974 .
[2] P. Barry. On a generalization of the Narayana triangle. , 2011 .
[3] Heesung Shin,et al. The symmetric and unimodal expansion of Eulerian polynomials via continued fractions , 2010, Eur. J. Comb..
[4] P. Brändén. Unimodality, log-concavity, real-rootedness and beyond , 2015 .
[5] Bao-Xuan Zhu,et al. Q-log-convexity from Linear Transformations and Polynomials with Only Real Zeros , 2016, Eur. J. Comb..
[6] D. Foata,et al. Theorie Geometrique des Polynomes Euleriens , 1970 .
[7] Thomas Lam,et al. Total positivity for cominuscule Grassmannians , 2007 .
[8] William Y. C. Chen,et al. Derangement Polynomials and Excedances of Type B , 2009, Electron. J. Comb..
[9] Sylvie Corteel,et al. Tableaux combinatorics for the asymmetric exclusion process , 2007, Adv. Appl. Math..
[10] R. Stanley. Log‐Concave and Unimodal Sequences in Algebra, Combinatorics, and Geometry a , 1989 .
[11] J. Stembridge. Enriched p-partitions , 1997 .
[12] Yi Wang,et al. A unified approach to polynomial sequences with only real zeros , 2005, Adv. Appl. Math..
[13] Jean-Christophe Aval,et al. Tree-like Tableaux , 2013, Electron. J. Comb..
[14] Francesco Brenti,et al. Combinatorics and Total Positivity , 1995, J. Comb. Theory A.
[15] Bao-Xuan Zhu,et al. Some positivities in certain triangular arrays , 2014 .
[16] T. K. Petersen. Enriched P-partitions and peak algebras , 2005, math/0508041.
[17] Sylvie Corteel,et al. Formulae for Askey-Wilson moments and enumeration of staircase tableaux , 2010, 1007.5174.
[18] F. Brenti,et al. Unimodal, log-concave and Pólya frequency sequences in combinatorics , 1989 .
[19] Carla D. Savage,et al. The s-eulerian polynomials have only real roots , 2012, 1208.3831.
[20] T. Mansour,et al. Recursions for the flag-excedance number in colored permutations groups , 2015 .
[21] Á. Baricz,et al. Turán-Type Inequalities for Some Lommel Functions of the First Kind , 2013, Proceedings of the Edinburgh Mathematical Society.
[22] Yi Wang,et al. Log-convex and Stieltjes moment sequences , 2016, Adv. Appl. Math..
[23] M. Benson. Growth series of finite extensions of ℤn are rational , 1983 .
[24] D. Widder,et al. The Laplace Transform , 1943, The Mathematical Gazette.
[25] Sylvie Corteel,et al. Staircase tableaux, the asymmetric exclusion process, and Askey-Wilson polynomials , 2009, Proceedings of the National Academy of Sciences.
[26] D. Wagner,et al. Total positivity of Hadamard products , 1992 .
[27] Miklós Bóna,et al. Combinatorics of permutations , 2022, SIGA.
[28] P. Turán,et al. On the zeros of the polynomials of Legendre , 1950 .
[29] Bao-Xuan Zhu,et al. Log-concavity and strong q-log-convexity for Riordan arrays and recursive matrices , 2017, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[30] A. Nunge. Eulerian polynomials on segmented permutations , 2018, 1805.01797.
[31] Arthur Nunge. An equivalence of multistatistics on permutations , 2018, J. Comb. Theory, Ser. A.
[32] Bruce E. Sagan. LOG CONCAVE SEQUENCES OF SYMMETRIC FUNCTIONS AND ANALOGS OF THE JACOBI-TRUDI DETERMINANTS , 1992 .
[33] L. Williams,et al. Combinatorics of the two-species ASEP and Koornwinder moments , 2015, 1510.05023.
[34] L. J. Rogers. On the Representation of Certain Asymptotic Series as Convergent Continued Fractions , 1907 .
[35] Philip B. Zhang,et al. Multivariate stable Eulerian polynomials on segmented permutations , 2018, Eur. J. Comb..
[36] Bao-Xuan Zhu,et al. Strong q-log-convexity of the Eulerian polynomials of Coxeter groups , 2014, Discret. Math..
[37] Yeong-Nan Yeh,et al. Polynomials with real zeros and Po'lya frequency sequences , 2005, J. Comb. Theory, Ser. A.
[38] G. Szegö,et al. On an inequality of P. Turán concerning Legendre polynomials , 1948 .
[39] Philippe Flajolet. Combinatorial aspects of continued fractions , 1980, Discret. Math..
[40] William Y. C. Chen,et al. The q-log-convexity of the Narayana polynomials of type B , 2010, Adv. Appl. Math..
[41] Bao-Xuan Zhu,et al. A generalized ordered Bell polynomial , 2020 .
[42] Yeong-Nan Yeh,et al. Context-free grammars, generating functions and combinatorial arrays , 2019, Eur. J. Comb..
[43] Philippe Nadeau. The structure of alternative tableaux , 2011, J. Comb. Theory, Ser. A.
[44] Matthias Beck,et al. Root Polytopes and Growth Series of Root Lattices , 2008, SIAM J. Discret. Math..
[45] Steve Fisk. Polynomials, roots, and interlacing , 2006 .
[46] Bao-Xuan Zhu,et al. Positivity of Iterated Sequences of Polynomials , 2018, SIAM J. Discret. Math..
[47] Hua Sun,et al. Linear Transformations Preserving the Strong $q$-log-convexity of Polynomials , 2015, Electron. J. Comb..
[48] Bao-Xuan Zhu. Positivity and continued fractions from the binomial transformation , 2019, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[49] Li Liu,et al. On the log-convexity of combinatorial sequences , 2007, Adv. Appl. Math..
[50] Petter Brändén,et al. On linear transformations preserving the Polya frequency property , 2004 .
[51] Einar Steingrímsson,et al. Permutation Statistics of Indexed Permutations , 1994, Eur. J. Comb..
[52] William Y. C. Chen,et al. Log-concavity and q-Log-convexity Conjectures on the Longest Increasing Subsequences of Permutations , 2008, 0806.3392.
[53] Jean-Christophe Aval,et al. The tree structure in staircase tableaux , 2011 .
[54] M. Marden. Geometry of Polynomials , 1970 .
[55] Bao-Xuan Zhu,et al. Log-convexity and strong q-log-convexity for some triangular arrays , 2013, Adv. Appl. Math..
[56] Sylvie Corteel,et al. Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials , 2009 .
[57] Francesco Brenti,et al. q-Eulerian Polynomials Arising from Coxeter Groups , 1994, Eur. J. Comb..
[58] Allan Pinkus. Totally Positive Matrices , 2009 .
[59] Christos A. Athanasiadis. Gamma-positivity in combinatorics and geometry , 2017, 1711.05983.
[60] Yeong-Nan Yeh,et al. Log-concavity and LC-positivity , 2007, J. Comb. Theory, Ser. A.
[61] J. Shohat,et al. The problem of moments , 1943 .