Citations of

William Y.C. Chen, Amy M. Fu and Baoyin Zhang, The Homogeneous q-Difference operator, Adv. in Appl. Math., 31 (2003) 659-668.


  1. M.A. Abdlhusein, The Euler operator for basic hypergeometric series, Int. J. Adv. Appl. Math. Mech. 2(2014) 42-52.

  2. M.A. Abdlhusein, Two operator representations for the trivariate q-polynomials and Hahn polynomials, Ramanujan J. (2015) 1-19.

  3. J. Cao, Homogeneous q-difference equations and generating functions for q-hypergeometric polynomials, Ramanujan J. 40(2016) 177-192.

  4. J. Cao, q-difference equations for generalized homogeneous q-operators and certain generating functions,  J. Differ. Equ. Appl. 20(2014) 837-851.

  5. S.H.L. Chen, W.Y.C. Chen, A.M. Fu and W.J.T. Zang, The algorithm z and Ramanujan's summation, Ramanujan J. 25(2011) 37-47.

  6. S.H.L. Chen and A.M. Fu, An 4n-point interpolation formula for certain polynomials, arXiv:1009.2594.

  7. V. Chandrasekar and K. Suresh, Theory and applications of generalized q-derivative operator, International Conference on Mathematical Computer Engineering - ICMCE - 2013.

  8. V.Y.B. Chen and N.S.S. Gu, The cauchy operator for basic hypergeometric series, Adv. in Appl. Math. 41(2008) 177-196.

  9. W.Y.C. Chen, H.L. Saad and L.H. Sun, The bivariate Rogers–Szegö polynomials, J. Phys. A 40(2007) 6071. arXiv:0910.1746.

  10. W.Y.C. Chen and A.M. Fu, Cauchy augmentation for basic hypergeometric series, Bull. Lond. Math. Soc. 36(2004) 169-175.

  11. D. Lu, q-difference equation and the Cauchy operator identities, J. Math. Anal. Appl. 359(2009) 265-274.

  12. H.L. Saad, On the cauchy polynomials, International Mathematical Forum. 9, 2014.

  13. H.L. Saad and A.A. Sukhi, Another homogeneous q-difference operator, Appl. Math. Comput. 215(2010) 4332-4339.

  14. H.L. Saad and A.A. Sukhi, The q-exponential operator, Appl. Math. Sci 7(2005) 6369-6380.

  15. H.M. Srivastava and M.A. Abdlhusein, New forms of the cauchy operator and some of their applications, Russ. J. Math. Phys. 23(2016) 124-134.

  16. G.B.A. Xavier, T.G. Gerly, and H. Nasira Begum, Finite series of polynomials and polynomial factorials arising from generalized q-difference operator, Far East Journal of Mathematical Sciences 94(2014) 47-63.

  17. Z. Zhang and T. Wang, Operator identities involving the bivariate Rogers–Szegö polynomials and their applications to the multiple q-series identities, J. Math. Anal. Appl. 343(2008) 884-903.

  18. Y. Zhou and Q.M. Luo, Some new generating functions for q-Hahn polynomials, J. Appl. Math. (2014) 419365-1.

  19. 张之正, 杨继真, 双参数有限q 指数算子及其应用Finite q-exponential operators with two parameters and their applications, 数学学报, 2010, 53: 1007-1018.

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