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A sum rule for $r$-derangements obtained from the Cauchy product of exponential generating functions by Pain, Jean-Christophe is a scholarly article available to read on EtoBox.

What is A sum rule for $r$-derangements obtained from the Cauchy product of exponential generating functions about?

We propose a sum rule for $r$-derangements (meaning that the elements are restricted to be in distinct cycles in the cycle decomposition) involving binomial coefficients. The identity, obtained using the Cauchy product of two exponential generating functions, generalizes a known relation for usual derangements.

Author

Pain, Jean-Christophe

Published

2024

Language

EN