## Obtaining Concise Formulae on Bernoulli Polynomials-Numbers and Sums of Powers-Faulhaber Problems

Utilizing the translation operator exp (aμz) to represent Bernoulli polynomials Bm(z) and power sums Sm(z,n) as polynomials of Appell-type , we obtain concisely almost all their known properties as so as many new ones, especially very simple symbolic formulae for calculating Bernoulli numbers and polynomials, power sums of entire...

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