References
- V. Adamchik, On Stirling numbers and Euler sums, J. Comput. and Appl. Math. 79 (1997), no. 1, 119-130 https://doi.org/10.1016/S0377-0427(96)00167-7
- A. T. Benjamin, D. Gaebler, and R. Gaebler, A combinatorial approach to hyperharmonic numbers, Integers (Elec. J. Combi. Number Theory) 3 (2003), A15, 1-9
- S. Chaturvedi and V. Gupta, Identities involving elementary symmetric functions, J. Phys. A 33 (2000), no. 29, L251-L255 https://doi.org/10.1088/0305-4470/33/29/101
- W. Chu, Harmonic number identities and Hermite-Pade approximations to the logarithm function, J. Approx. Theory 137 (2005), no. 1, 42-56 https://doi.org/10.1016/j.jat.2005.07.008
- W. Chu and L. De Donno, Hypergeometric series and harmonic number identities, Adv. in Appl. Math. 34 (2005), no. 1, 123-137 https://doi.org/10.1016/j.aam.2004.05.003
- L. Comtet, Advanced Combinatorics, D. Reidel Pub. Company, 1974
- A. Gertsch, Generalized harmonic numbers, C. R. Acad. Sci. Paris, Ser. I Math. 324 (1997), no. 1, 7-10 https://doi.org/10.1016/S0764-4442(97)80094-8
- I. M. Gessel, On Miki's identity for Bernoulli numbers, J. Number Theory 110 (2005), no. 1, 75-82 https://doi.org/10.1016/j.jnt.2003.08.010
- T. M. Rassias and H. M. Srivastava, Some classes of infinite series associated with the Riemann Zeta and Polygamma functions and generalized harmonic numbers, Appl. Math. Comput. 131 (2002), no. 2-3, 593-605 https://doi.org/10.1016/S0096-3003(01)00172-2
- J. M. Santmyer, A Stirling like sequence of rational numbers, Discrete Math. 171 (1997), no. 1-3, 229-235 https://doi.org/10.1016/S0012-365X(96)00082-9
- F. Scheid, Numerical Analysis, McGraw-Hill Book Company, 1968
- A. J. Sommese, J. Verscheide, and C. W. Wampler, Symmetric functions applied to decomposing solution sets of polynomial systems, SIAM J. Numerical Analysis 40 (2002), no. 6, 2026-2046 https://doi.org/10.1137/S0036142901397101
- http://mathworld.wolfram.com/Newton-GirardFormulas.html
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