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New Finite and Infinite Summation Identities Involving the Generalized Harmonic Numbers |
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PP: 49-60 |
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doi:10.18576/jant/040108
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Author(s) |
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Kunle Adegoke,
Olawanle Layeni,
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Abstract |
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| We state and prove a general summation identity. The identity is then applied to derive various summation formulas
involving the generalized harmonic numbers and related quantities. Interesting results, mostly new, are obtained for both finite and
infinite sums. The high points of this paper are the discovery of several previously unknown infinite summation results involving nonlinear
generalized harmonic number terms and the derivation of interesting alternating summation formulas involving these numbers. |
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