-1 1+ 2! +... 3! B. (0). (2.59) el – 1 n=0 Comparison of the powers of A gives l'o(0) = 1, B1(0) = -1/2, B2(0) = 1/, B3(0) = 0, B4(0) = -1/30, B5(0) = 0, B6 (0) = 1/42, .... The corresponding...

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Extracted text: -1 1+ 2! +... 3! B. (0). (2.59) el – 1 n=0 Comparison of the powers of A gives l'o(0) = 1, B1(0) = -1/2, B2(0) = 1/, B3(0) = 0, B4(0) = -1/30, B5(0) = 0, B6 (0) = 1/42, .... The corresponding Bernoulli polynomials are Bo(k) = 1, B1 (k) = k – /2, B2(k) = k2 – k + 1/6, B3(k) = k – 3/2k² + 1/2k, B4(k) = k4 – 2k³ + k? – 1/30, B:(k) = k – 5/2k“ + 5/3k – 1/ok, Be(k) = k° – 3k5 + 5/½k4 – 1/2k? + /42, B7(k) = k" – 7/2k® + 7/½k³ – 7/ok³ + !/ok, Bs(k) = k$ – 4k" + 14/3k® – 7/3k4 + 2/3k? – 1/30, - etc.