On the Matrices with Harmonic Numbers

Abstract

Keywords

• Harmonic number, Norm, Determinant

References

1. Adamchik, V.S., “On Stirling numbers and Euler sums”, J. Comput. and Appl. Math, 79: 119-130 (1997).
2. Benjamin, A.T., Gaebler, D., Gaebler, R., “A combinatorial approach to hyperharmonic numbers”, Integers ( Elec. J. Combi. Number Theory), 3:1-9 A15(2003).
3. Chu, W., De Donno, L., “Hypergeometric series and harmonic number identities”, Adv. in Appl. Math, 34:123-137(2005).
4. Cheon, G.S., El-Mikkawy, M.E.A., “Generalized harmonic number identities and a related matrix representation”, J. Korean Mathematical Society, 2(44):487–498(2007).
5. Cheon, G.S., El-Mikkawy, M.E.A., “Generalized harmonic numbers with Riordan arrays”, Journal of Number Theory, 128:413-425(2008).
6. Spivey, M.Z., “Combinatorial sums and finite differences”, Discrete Mathematics, 307:3130-3146 (2007).