34 Difference Equations TABLE 1.2: Definite Sums of Selected Functions Number Summation Definite Sum 1 Σ1 n +1 k=0 n 2 k n(n+1) k=0 n 3 п(п+1)(2п+1) k=0 E k3 n?(n+1)² 4 k=0 E k(m), m # –1 (n+1)(m+1)...

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Extracted text: 34 Difference Equations TABLE 1.2: Definite Sums of Selected Functions Number Summation Definite Sum 1 Σ1 n +1 k=0 n 2 k n(n+1) k=0 n 3 п(п+1)(2п+1) k=0 E k3 n?(n+1)² 4 k=0 E k(m), m # –1 (n+1)(m+1) т+1 k=0 [a(п+1)+b(т+1)_ь(m+1) а(m+1) n 6 E (ak + b)(m), m + -1 k=0 n+1_1 7 Σ α, α1 а—1 k=0 Itu (а-1)(п+1)а"+1-а' n+2 +a E kak, a + 1 (а-1)2 k=0 п E sin(ak), a + 2mT cos{a[(n+1)/2]} cos(an/2) sin(a/2) 9 k=0 n Σ cos(ak), a # 2mπ sin{a[(n+1)/2]} cos(an/2) sin(a/2) 10 k=0