Integer properties of a composition of exponential generating functions

Статья в сборнике трудов конференции

In this paper, we study a composition of exponential generating functions. We obtain new properties of this composition, which allow to distinguish prime numbers from composite numbers. Using the results of the paper we get the known properties of the Bell numbers (Touchard's Congruence for k = 0).

Библиографическая запись: Kruchinin, D. V. Integer properties of a composition of exponential generating functions / D. V. Kruchinin [et. al.] // International Conference of Numerical Analysis and Applied Mathematics 2016 (19-25 sep 2016.). – American Institute of Physics Inc., 2017. – С. 1-4. – DOI: 10.1063/1.4992463

Конференция:

• International Conference of Numerical Analysis and Applied Mathematics 2016
• Греция, 19-25 сентября 2016,
• Зарубежная

Издательство:

American Institute of Physics Inc.

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