Pascal Maroni, Manoubi Mejri
We study the problem posed by Nörlund in terms of dual sequences. We determine the functional equation fulfilled by the canonical form of any generalized Bernoulli sequence. Surprisingly these canonical forms are positive definite. Some results are given for an Euler sequence.
Orthogonal polynomials, dual sequences, Bernoulli and Euler polynomials.
MSC 2000: 42C05, 33C45