Resumen de Two identities for the Bernoulli-Euler numbers

N. Gauthier

• Two identities for the Bernoulli and for the Euler numbers are derived. These identities involve two special cases of central combinatorial numbers. The approach is based on a set of differential identities for the powers of the secant. Generalizations of the Mittag-Leffler series for the secant are introduced and used to obtain closed-form expressions for the coefficients.