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, 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.

  2. 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.

  3. 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.

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

  5. 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.

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

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

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

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

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

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

  12. S.-M. Ma, J. Ma, Jean Yeh and Y.-N. Yeh, The e-positivity of multivariate k-order Eulerian polynomials, arXiv:2106.16189v1.

  13. 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.

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

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

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

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

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

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

  20. 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.

  21. 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.

  22. 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.

  23. 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.

  24. 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.

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

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

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

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

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