W.Y.C. Chen and A.M. Fu,
Context-free grammars for permutations and increasing trees,
Adv. in Appl. Math. 82 (2017) 58-82.

Cited by


  1. W.Y.C. Chen and A.M. Fu, A context-free grammar for the e-positivity of the trivariate second-order Eulerian polynomials. Discrete Math. 345(1) (2022) Paper No. 112661.

  2. W.Y.C. Chen, R.X.J. Hao and H.R.L. Yang, Context-free grammars and multivariate stable polynomials over Stirling permutations, In: V. Pillwein and C. Schneider (eds.), Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra, pp. 109-135, Springer, 2021.

  3. W.Y.C. Chen and H.R.L. Yang, A context-free grammar for the Ramanujan-Shor polynomials, Adv. in Appl. Math., 126 (2021) 101908.

  4. G.-H. Duh, Y.-C. Roger Lin, S.-M. Ma and Y.-N. Yeh, Some statistics on Stirling permutations and Stirling derangements, Discrete Math. 341 (2018), 2478--2484.

  5. A.M. Fu, A Context-free grammar for peaks and double descents of permutations, Adv. in Appl. Math. 100 (2018), 179-196.

  6. A.M. Fu, Some identities related to the second-order Eulerian numbers, arXiv:2104.09316, 2021.

  7. A.M. Fu and F.Z.K. Li, Joint distributions of permutation statistics and the parabolic cylinder functions, European J. Combin. 85 (2020), 103060, 23 pp.

  8. G.-N. Han and S.-M. Ma, Derivatives, Eulerian polynomials and the g-indexes of Young tableaux, arXiv:2006.14064.

  9. G.-N. Han and S.-M. Ma, Recurrences for the derivative polynomials for tangent and secant, arXiv:2206.07590.

  10. Y.R. Lin, S.-M. Ma and Y.-N. Yeh, Counting permutations by simsun successions, Taiwanese J. Math. 23(3) (2019), 515–527.

  11. Z. Lin, J. Ma and P.B. Zhang, Plateaux on generalized Stirling permutations and partial γ-positivity, arXiv:2005.06689, 2020.

  12. S.-H. Liu, MacMahon's equidistribution theorem for k-Stirling permutations, Adv. in Appl. Math. 128 (2021) Paper No. 102193.

  13. Zhicong Lin and Jun Ma, A symmetry on weakly increasing trees and multiset Schett polynomials, arXiv:2104.10539v1.

  14. Zhicong Lin, Jun Ma and Philip B. Zhang, Statistics on multipermutations and partial γ-positivity, J. Combin. Theory Ser. A, 183 (2021), 105488.

  15. S.-M. Ma, Some combinatorial sequences associated with context-free grammars, arXiv:1208.3104.

  16. Shi-Mei Ma, Qi Fang, Toufik Mansour and Yeong-Nan Yeh, Alternating Eulerian polynomials and left peak polynomials, arXiv:2104.09374.

  17. S.-M. Ma, J. Ma and Y.-N. Yeh, $\gamma$-positivity and partial $\gamma$-positivity of descent-type polynomials, J. Combin. Theory Ser. A 167 (2019), 257-293.

  18. S.-M. Ma, J. Ma and Y.-N. Yeh, A class of peak polynomials related to Jacobi elliptic functions, arXiv:1807.08700.

  19. S.-M. Ma, J. Ma and Y.-N. Yeh, Alternatingly increasing property and bi-gamma-positivity of polynomials, arXiv:1907.13082.

  20. S.-M. Ma, J. Ma and Y.-N. Yeh, David-Barton type identities and alternating run polynomials, Adv. in Appl. Math. 114 (2020), 101978.

  21. S.M. Ma, J. Ma and Y.N. Yeh, Eulerian polynomials for multipermutations and signed multipermutations, arXiv:1907.13082, 2019.

  22. S.-M. Ma, J. Ma and Y.-N. Yeh, On certain combinatorial expansions of descent polynomials and the change of grammars, arXiv:1802.02861.

  23. S.-M. Ma, J. Ma and Y.-N. Yeh, On certain combinatorial expansions of the Legendre-Stirling numbers, arXiv:1805.10998.

  24. S.-M. Ma, J. Ma and Y.-N. Yeh, The alternating run polynomials of permutations, arXiv:1904.11437.

  25. S.-M. Ma, J. Ma and Y.-N. Yeh, The ascent-plateau statistics on Stirling permutations, Electron. J. Combin. 26(2) (2019), Paper 2.5, 13 pp.

  26. S.M. Ma, J. Ma, J. Yeh and Y.N. Yeh, Excedance-type polynomials and gamma-positivity, arXiv:2102.00899, 2021.

  27. S.M. Ma, J. Ma, J. Yeh and Y.N. Yeh, The 1/k-Eulerian polynomials of type B, Electron. J. Combin. 27(3) (2020) Paper No. 3.27, 20 pp.

  28. S.M. Ma, J. Ma, J. Yeh and Y.N. Yeh, The e-positivity of multivariate k-th order Eulerian polynomials, arXiv:2106.16189, 2021.

  29. S.M. Ma, J. Ma, J. Yeh and Y.N. Yeh, The gamma-positivity of Eulerian polynomials and succession statistics, arXiv:2002.06930, 2020.

  30. S.-M. Ma, J. Ma, Y.-N. Yeh and B.-X. Zhu, Context-free grammars for several polynomials associated with Eulerian polynomials, Electron. J. Combin. 25(1) (2018), Paper 1.31, 17 pp.

  31. S.M. Ma, J. Ma, Y.N. Yeh and R.R. Zhou, Jacobian elliptic functions and a family of bivariate peak polynomials, European J. Combin. 97 (2021) Paper No. 103371.

  32. S.-M. Ma, T. Mansour and M. Schork, Normal ordering problem and the extensions of the Stirling grammar, Russ. J. Math. Phys. 21(2014) 242–255.

  33. S.-M. Ma, T. Mansour, D.G.L. Wang and Y.-N. Yeh, Several variants of the Dumont differential system and permutation statistics, Sci. China Math. 62(10) (2019), 2033-2052.

  34. S.-M. Ma and Y.-N. Yeh, Eulerian polynomials, Stirling permutations of the second kind and perfect matchings, Electron. J. Combin. 24 (2017) Paper 4.27, 18 pp.

  35. M.A. Méndez and J.L. Ramírez, A new approach to the r-Whitney numbers by using combinatorial differential calculus, arXiv:1702.06519.

  36. J.L. Ramírez, M.A. Méndez, A new approach to the $r$-Whitney numbers by using combinatorial differential calculus, arXiv:1702.06519.

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  38. J. Triana and R. De Castro, Grammars and multifactorial numbers, Global Journal of Pure and Applied Mathematics 15(3) (2019), 251-259.

  39. J.G. Triana and R. De Castro, Multifactorial numbers by means of formal grammars, In: Advanced Mathematics Theory and Applications, Chapter 3, pp. 121-130. Research India Publications, 2020.

  40. J. Triana and R. De Castro, The formal derivative operator and multifactorial numbers, Revista Colombiana de Matematicas 53(2) (2019), 125-137.

  41. B.-X. Zhu, Y.-N. Yeh, Q. Lu, Context-free grammars, generating functions and combinatorial arrays, European J. Combin. 78 (2019), 236-255.