2015/08/28 by Kunle Adegoke, Adegoke, Kunle, Olawanle Layeni +1
Mathematics · Physics and Astronomy · #65B10 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT) #Quantum and Classical Electrodynamics
paper · pdf · doi:10.48550/arxiv.1508.07345
openalex publication_date 2015/08/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We state and prove a general summation identity. The identity is then applied\nto derive various summation formulas involving the generalized harmonic numbers\nand related quantities. Interesting results, mostly new, are obtained for both\nfinite and infinite sums. The high points of this paper are perhaps the\ndiscovery of several previously unknown infinite summation results involving\n em non-linear generalized harmonic number terms and the derivation of\ninteresting alternating summation formulas involving these numbers\n