Divisibility properties of the r-Bell numbers and polynomials
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DOI: 10.1016/j.jnt.2017.01.022
Abstract: In the present article we extend several arithmetical results to a family of generalized Bell numbers called r-Bell numbers. In particular, we generalize some congruences such as Touchard's congruence, Sun–Zagier congruence for Bell and derangement… read more here.
Keywords: properties bell; divisibility properties; bell numbers; numbers polynomials ... See more keywords
On fully degenerate Bell numbers and polynomials
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DOI: 10.2298/fil2002507d
Abstract: Recently, the partially degenerate Bell numbers and polynomials were introduced as a degenerate version of Bell numbers and polynomials. In this paper, as a further degeneration of them, we study fully degenerate Bell numbers and… read more here.
Keywords: degenerate bell; fully degenerate; bell numbers; numbers polynomials ... See more keywords
On poly-Bell numbers and polynomials
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DOI: 10.2989/16073606.2020.1805039
Abstract: Abstract This paper aims to construct a new family of numbers and polynomials which are related to the Bell numbers and polynomials by means of the confluent hypergeometric function. We give various properties of these… read more here.
Keywords: numbers polynomials; bell numbers; poly bell; bell ... See more keywords