Qing-Hu Hou's Homepage


Address

Center for Combinatorics
Nankai University
Tianjin 300071
P.R. China

Email: hou@nankai.edu.cn

Tel: (022)2350-3614



Research Interests

Automated Proofs of Combinatorial Identities

Symmetric Functions

Enumerative Combinatorics

q-Series

Publications

  1. W.Y.C. Chen, Q.H. Hou and Y.P. Mu, The extended Zeilberger algorithm with parameters, J. Symbolic Comput., 47 (2012) 643--654.   arXiv:0908.1328

    Maple pakage: EZA

  2. W.Y.C. Chen, Q.H. Hou and L.H. Sun, The method of combinatorial telescoping, J. Combin. Theory Ser. A, 118 (2011) 899--907.   arXiv:1001.0312

  3. W.Y.C. Chen, Q.H. Hou and H.T. Jin, The Abel-Zeilberger algorithm, Electr. J. Combin., 18 (2011) P17.   arXiv:1105.0178

  4. Q.H. Hou and Y.P. Mu, Minimal universal denominators for linear difference equations, J. Difference Equ. Appl., 17 (2011) 977--986.

  5. Q.H. Hou and T. Mansour, The kernel method and systems of functional equations with several conditions, J. Comput. Appl. Math., 235 (2011) 1205--1212.

  6. Q.H. Hou and Y.P. Mu, Hypergeometric series solutions of linear operator equations, Appl. Math. Comput., 215 (2010) 3731--3739.

    Related Maple package

  7. W. Gao, Q.H. Hou, and G. Xin, On P-partitions related to ordinal sums of posets, European J. Combin., 30(5) (2009) 1370--1381.

  8. Q.H. Hou, T. Mansour, and S. Severini, Partial transposes of permutation matrices, Intergers, 8(1) (2008) A49.

  9. Q.H. Guo, Q.H. Hou, and H. Sun, Proving hypergeometric identities by numerical verifications£¨J. Symbolic Comput., 43 (2008) 895--907.

  10. W.Y.C. Chen, Q.H. Hou and Y.P. Mu, Nonterminating basic hypergeometric series and the q-Zeilberger algorithm, Proc. Edinb. Math. Soc., 51 (2008) 609--633.

  11. E. Georgiadis, D. Callan, and Q.H. Hou, Circular digraph walks, k-balanced strings, lattice, Electron. J. Combin. 15(1) (2008), R108.

  12. Q.H. Hou and T. Mansour, Kernel method and linear recurrence system, J. Comput. Appl. Math. 216 (2008) 227--242.

  13. W.D. Gao, Q.H. Hou, W. Schmid, and R. Thangadurai On short zero-sum subsequences II, Integers 7 (2007) #A21.
    Programs on computing s(C53)

  14. W.Y.C. Chen and Q.H. Hou, Factors of the Gaussian coefficients, Discrete Math. 306(2006) 1446--1449.

  15. Q.H. Hou and T. Mansour, Horse paths, restricted 132-avoiding permutations, continued fractions, and Chebyshev polynomials, Discrete Appl. Math. 154(8) (2006) 1183--1197.

  16. W.Y.C. Chen, Q.H. Hou and Y.P. Mu, A telescoping method for double summations£¨J. Comput. Appl. Math. 196 (2006) 553--566.

  17. W.Y.C. Chen, Q.H. Hou and Y.P. Mu, Applicability of the q-analogue of Zeilberger's algorithm£¨J. Symbolic Comput. 39 (2005) 155--170.

  18. Q.H. Hou, A. Lascoux, and Y.P. Mu, Evaluation of some Hankel determinants, Adv. in Appl. Math. 34 (2005) 845--852.

  19. Q.H. Hou, A. Lascoux and Y.P. Mu, Continued fractions for Rogers-Szeg? polynomials, Numer. Algorithms, 35 (2004) 81--90.

  20. Q.H. Hou, k-free recurrences of double hypergeometric terms, Adv. in Appl. Math., 32 (2004) 468--484.

  21. Q.H. Hou and Y.P. Mu, Recurrent sequences and Schur functions, Adv. in Appl. Math., 31 (2003) 150--162.

  22. W.Y.C. Chen, Q.H. Hou and A. Lascoux, An involution for the Gauss identity, J. Combin. Theory Ser. A, 102 (2003) 309--320.

  23. Q.H. Hou and Z.W. Sun, Restricted sums in a field, Acta Arith., 102 (2002) 239--249.

Preprint

  1. D.K. Du and Q.H. Hou, Partially ordinal sums and P-partitions, arXiv:1111.0245

    related Maple package p-par.zip including a maple package p-par.mpl and a demo demo.mw. We need the assistant package posets.mpl given by J.R. Stembridge

Software

    APCI: A package for automatic proofs of combinatorial identites. Now the package includes the extended Zeilberger algorithm (corresponding paper) and the Abel-Zeilberger algorithm (corresponding paper).