Cesàro partial sums of harmonic series expansions
Cesàro partial sums of harmonic series expansions
Φ Introduction.Let the harmonic function v(r, θ) have the sine series expansion (1.1) v(r, θ) = Σ α v r v sin vθ , 1 convergent for 0 ^ r < 1 and suppose that t>(r, 0) is non-negative for 0 < θ < π.Denote the nth partial sum of …