Infinite series containing generalized harmonic functions
Kwang-Wu Chen, Yi-Hsuan Chen
Abstract
We use Abel's summation formula and the method of partial fraction decomposition to study infinite series involving generalized harmonic numbers of any positive integral order, with any positive integral power.
Topics & Concepts
MathematicsSeries (stratigraphy)Power seriesPartial fraction decompositionHarmonicMathematical analysisAlternating seriesDivergent seriesApplied mathematicsPhysicsSummation by partsRational functionPaleontologyBiologyQuantum mechanicsAdvanced Mathematical IdentitiesMathematical functions and polynomialsFunctional Equations Stability Results