Archive

  • Home
  • Tag: Bernoulli numbers

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

Utilizing the rewording operator exp (aμz) to show Bernoulli polynomials Bm(z) and power sums Sm(z,n) as polynomials of Appell-type , we get concisely principal part their known properties as so as many new one, especially very plain symbolic formulae for

Read More

Obtaining Easily Powers Sums on Arithmetic Progressions and Properties of Bernoulli Polynomials by Operator Calculus

We show that a sum of powers on an arithmetic progression is the transform of a monomial by a differential operator and that its generating function is simply related to that of the Bernoulli polynomials from which consequently it may

Read More

Categories