Citations of

(with Z.G. Liu) Parameter augmentation for basic hypergeometric series II, J. Combin. Series A, 80 (2) (1997), 175–195.

  1. Jian Cao, Notes on Carlitz’s q-operators, Taiwanese Journal of Mathematics, 14(6) (2010) 2229-2244.

  2. V.Y.B. Chen, N.S.S.Gu, The Cauchy operator for basic hypergemetric series, Adv. Appl. Math,, 41(2008)177-196.

  3. Thomas Ernst, The History of Q-calculus and a New method. UUDM Report 2000:16, Department of Mathematics, Uppsala University, 2000, ISSN: 1101-3591.

  4. Jian-Ping Fang, q-Differential operator identities and applications, J. Math. Anal. Appl. 332 (2007) 1393–1407.

  5. 房剑平, q-微分算子恒等式的应用,华东师范大学学报(自然科学版),1 (2008).

  6. V. J. W. Guo, Elementary proofs of some q-identities of Jackson and Andrews-Jain, Discrete Math., 295(1-3) (2005) 63-74.

  7. C. Krattenthaler, K. S. Rao, Automatic generation of hypergeometric identities by the beta integral method, J. Comput. Appl. Math., 160 (2003) 159-173.

  8. Da-qian Lu, q-Difference equation and the Cauchy operation identities, Journal of Mathematical Analysis and Applications, 359(2009), 265-274.

  9. YP Mu, Parameter augmentation and the q-Gosper algorithm, Journal of Symbolic Computation, 43(2008) Issue 12, 874-882.

  10. Mingjian Wang, A generalization of the q-Pfaff-Saalschutz formula, Contributions to Discrete Mathematics, 3(2), 25-30.

  11. Caihuan Zhang, Parameter Augmentation for Two Formulas, Electron. J. Combin. 13 (2006), #N19.

  12. Zhizheng Zhang and Jizhen Yang, Several q-series identities from the Euler expantsions of $(a; q)_{infty} and $1/(a;q)_{\infty}$, Archivum mathematicum (BRNO), 45 (2009), 47-58

  13. Zhizheng Zhang, Some 3ψ3 transformations formulas related to Bailey's 2ψ2, Ars Combinatorica, 78 (2006) 257-265.

  14. Zhizheng Zhang, Operator identities and several U(n+1) generalizations of the Kalnins–Miller transformations, J. Math. Anal. Appl. 324 (2006) 1152--1167.

  15. Zhizheng Zhang and Maixue Liu, Applications of operator identities to the multiple q-binomial theorem and q-Gauss summation theorem, Discrete Math., 13(2006) 1424-1437.

  16. Jun-Ming Zhu, The solutions of four q-functional equations, arXiv:1001.0299v1.

  17. 张之正，杨继真，双参数有限q指数算子及其应用，《数学学报》，53(5) (2010) 1007-1018.

  18. Zhizheng Zhang and Jun Wang, Two operator identities and their applications to terminating basic hypergeometric series and q-integrals, J. Math. Anal. Appl., 312 (2005) 653-665.

back to homepage