Properties of a Composition of Exponential and Ordinary Generating Functions

Статья в журнале

In this paper, we consider the composition of ordinary and exponential generating functions. The obtained property of the composition of ordinary and exponential generating functions can be used for distinguishing prime numbers from composite numbers. For example, it can be applied for constructing new probabilistic primality criteria. Using the obtain property, we get several congruence relations for the Uppuluri-Carpenter, Euler, and Fubini numbers.

Журнал:

Communications in Mathematics and Applications
RGN Publications (Delhi)
Индексируется в Web of Science

Библиографическая запись: Properties of a Composition of Exponential and Ordinary Generating Functions / D. V. Kruchinin [et. al.] // Communications in Mathematics and Applications. - 2018. - Vol. 9 (4). - P. 705-711. - DOI: 10.26713/cma.v9i4.1044

Ключевые слова:

GENERATING FUNCTION COMPOSITION COMPOSITA PRIMALITY CRITERION EULER NUMBER

Индексируется в:

Web of science ( https://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=1&SID=F65iL1MXLayKS72rRPc&page=1&doc=3 )

Авторы: Кручинин Д. В., Шабля Ю. В., Кручинин В. В., Шелупанов А. А.

Год издания: 2018

Страницы: 705 - 711

Язык: Английский

DOI: 10.26713/cma.v9i4.1044