Three Symmetric Double Series by Telescoping

Some Double q-Series by Telescoping

“…. This equation appeared in [1], Theorem 4. Based on some well-known results ( [9], Equations ( 15) and ( 19)):…”

“…k is the harmonic number. Let n = 1 in Equation ( 9); this provides the identity appearing in [1], Corollary 7:…”

“…Recently, Chu [1], using the telescoping method, obtained the following double series expressions of…”

Binomial Series Involving Harmonic-like Numbers

“…There exist numerous infinite series identities involving harmonic numbers in the mathematical literature (see [1][2][3][4][5][6][7][8][9][10][11][12][13]). In combinatorial analysis and number theory (see [14][15][16]), the following binomial series is fundamental:…”