Nonlinear differential equations arising from Boole numbers and their applications

Abstract

In this paper, we study nonlinear differential equations satisfied by the generating function of Boole numbers. In addition, we derive some explicit and new interesting identities involving Boole numbers and higher-order numbers arising from our nonlinear differential equations.

10 pages

References in corpus (2)

• Identities involving values of Bernstein, q-Bernoulli and q-Euler polynomials
• A note on q-analogue of Boole polynomials