#### Vol. 8, No. 2, 2015

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More explicit formulas for Bernoulli and Euler numbers

### Francesca Romano

Vol. 8 (2015), No. 2, 275–284
##### Abstract

By directly considering Taylor coefficients and composite generating functions, we employ a generalized Faà di Bruno formula for higher partial derivatives using vector partitions to obtain identities that include explicit formulas for the Bernoulli and Euler numbers. The formulas we obtain are generalized analogs of the formulas obtained by D. C. Vella.

##### Keywords
Bernoulli numbers, Euler numbers, multivariable calculus
Primary: 11B68
Secondary: 05A15