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arxiv: 1603.07799 · v1 · pith:KZJVYF5Enew · submitted 2016-03-25 · 🧮 math.NT

Nonlinear differential equations arising from Boole numbers and their applications

classification 🧮 math.NT
keywords numbersbooledifferentialequationsnonlineararisingadditionapplications
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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.

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