References
- A.T. Benjamin, D. Gaebler and R. Gaebler, A combinatorial approach to hyperharmonic numbers, Integers 3 (2003), #A15; Available at http://www.math.colgate.edu/integers/
- A.T. Benjamin and J.J. Quinn, A Stirling encounter with harmonic numbers, Math. Mag. 75(2) (2002), pp. 95–103. doi: 10.1080/0025570X.2002.11953110
- K.N. Boyadzhiev, Binomial transform of products, Ars Combin. 126 (2016), pp. 415–434.
- D.M. Bradley, Multiple q-zeta values, J. Algebra 283 (2005), pp. 752–798. doi: 10.1016/j.jalgebra.2004.09.017
- D.M. Bradley, On the sum formula for multiple q-zeta values, Rocky Mountain J. Math. 37 (2007), pp. 1427–1434. doi: 10.1216/rmjm/1194275927
- W. Chu, Inversion techniques and combinatorial identities, Boll. Un. Mat. Ital. B7(4) (1993, Serie VII), pp. 737–760.
- W. Chu, Partial–praction decompositions and harmonic number identities, J. Combin. Math. Combin Comput. 60 (2007), pp. 139–153.
- W. Chu, Summation formulae involving harmonic numbers, Filomat 26(1) (2012), pp. 143–152. Available at http://journal.pmf.ni.ac.rs/filomat/index.php/filomat doi: 10.2298/FIL1201143C
- W. Chu and Q. Yan, Combinatorial identities on binomial coefficients and harmonic numbers, Util. Math. 75 (2008), pp. 51–66.
- W. Chu and Q. Yan, Combinatorial identities on q-harmonic numbers, J. Combin. Math. Combin. Comput. 77 (2011), pp. 173–185.
- W. Chu and Y. You, Binomial symmetries inspired by Bruckman's problem, Filomat 24(1) (2010), pp. 41–46. Available at http://journal.pmf.ni.ac.rs/filomat/index.php/filomat doi: 10.2298/FIL1001041C
- J.L. Díaz-Barrero, Problem 11164: A recurrent identity, Amer. Math. Monthly 112(6) (2005), pp. 568–568. Solution, ibid., 114 (2007), pp. 364–365 doi: 10.2307/30037532
- H.W. Gould, Combinatorial Identities, Morgantown Printing and Binding Company, Morgantown, 1972.
- H.W. Gould and J. Quaintance, Partial fractions and a question of Bruckman, Fibonacci Quart. 46/47(3) (2009), pp. 245–248.
- C. Krattenthaler, A new matrix inverse, Proc. Amer. Math. Soc. 124 (1996), pp. 47–59. doi: 10.1090/S0002-9939-96-03042-0
- I.G. Macdonald, Symmetric Functions and Hall Polynomials, Clarendon, Oxford, 1979.
- Y. Ohno and J. Okuda, On the sum formula for the q-analogue of non-strict multiple zeta values, Proc. Amer. Math. Soc. 135 (2007), pp. 3029–3037. doi: 10.1090/S0002-9939-07-08994-0
- J. Okuda and Y. Takeyama, On relations for the multiple q-zeta values, Ramanujan J. 14 (2007), pp. 379–387. doi: 10.1007/s11139-007-9053-5
- Y. Takeyama, The algebra of a q-analogue of multiple harmonic series, SIGMA 9 (2013). Paper 0601 (pp. 15); Available at https://www.emis.de/journals/SIGMA/
- C. Xu, M. Zhang and W. Zhu, Some evaluation of q-analogues of Euler sums, Monatsh. Math. 182 (2017), pp. 957–975. doi: 10.1007/s00605-016-0915-z