| 1 | Ablinger J . Discovering and proving infinite binomial sums identities. Exp Math, 2017, 26 (1): 62- 71 |
| 2 | Apéry R . Irrationalité de $\zeta(2)$ et $\zeta(3)$. Astérisque, 1979, 61, 11- 13 |
| 3 | Bailey W N . Generalized Hypergeometric Series. Cambridge: Cambridge Univ Press, 1935 |
| 4 | Campbell J M . Ramanujan-like series for $\frac{1}{\pi}$ involving harmonic numbers. Ramanujan J, 2018, 46 (2): 373- 387 |
| 5 | Chen X , Chu W . The Gauss $_2F_1(1)$-summation theorem and harmonic number identities. Integral Transforms Spec Funct, 2009, 20 (12): 925- 935 |
| 6 | Chen X , Chu W . Dixon's $_3F_2(1)$-series and identities involving harmonic numbers and Riemann zeta function. Discrete Math, 2010, 310, 83- 91 |
| 7 | Chu W . Hypergeometric series and the Riemann zeta function. Acta Arith, 1997, 82 (2): 103- 118 |
| 8 | Chu W . Hypergeometric approch to Apéry-like series. Integral Transforms Spec Funct, 2017, 28 (7): 505- 518 |
| 9 | Chu W , Zheng D Y . Infinite series with harmonic numbers and central binomial coefficients. Int J Number Theory, 2009, 5 (3): 429- 448 |
| 10 | Comtet L. Advanced Combinatorics. Dordrecht: Klumer, 1974 |
| 11 | K?lbig K S . The polygamma function $\psi^{(k)}(x)$ for $x=\frac{1}{4}$ and $x=\frac{3}{4}$. J Comput Appl Math, 1996, 75, 43- 46 |
| 12 | Liu H , Wang W . Harmonic number identities via hypergeometric series and Bell polynomials. Integral Transforms Spec Funct, 2012, 23 (1): 49- 68 |
| 13 | Liu H , Zhou W , Ding S . Generalized harmonic number summation formulae via hypergeometric series and digamma functions. J Differ Equ Appl, 2017, 23 (7): 1204- 1218 |
| 14 | Liu H , Wang W . Gauss's theorem and harmonic number summation formulae with certain mathematical constants. J Differ Equ Appl, 2019, 25 (3): 313- 330 |
| 15 | Lehmer D H . Interesting series involving the central binomial coefficient. Amer Math Monthly, 1985, 92, 449- 457 |
| 16 | Riordan J. An Introduction to Combinatorial Analysis. Reprint of the 1958 Original. Mineola: Dover, 2002 |
| 17 | Srivastava H M, Choi J. Series Associated with the Zeta and Related Functions. Dordrecht: Kluwer Academic Publishers, 2001 |
| 18 | Slater L J . Generalized Hypergeometric Functions. Cambridge: Cambridge Univ Press, 1966 |
| 19 | Sun Z . New series for some special values of $L$-functions. Nanjing Univ J Math, 2015, 32 (2): 189- 218 |
| 20 | Wang W , Jia C . Harmonic number identities via the Newton-Andrews method. Ramanujan J, 2014, 35 (2): 263- 285 |
| 21 | Wang W , Xu C . Evaluations of sums involving harmonic numbers and binomial coefficients. J Differ Equ Appl, 2019, 25 (7): 1007- 1023 |
| 22 | Wang X , Chu W . Further Ramanujan-like series containing harmonic numbers and squared binomial coefficients. Ramanujan J, 2019 |
| 23 | Zheng D . Further summation formulae related to generalized harmonic numbers. J Math Anal Appl, 2007, 335 (1): 692- 706 |
| 24 | Zucker I J . On the series $\sum\limits_{k=1}^{\infty} \big({}^{2k}_{\; k}\big)^{-1}k^{-n}$. J Number Theory, 1985, 20, 92- 102 |
