Higher order bell polynomials and the relevant integer sequences
نویسندگان
چکیده
منابع مشابه
Integer Sequences Connected with Extensions of the Bell Polynomials
The Encyclopedia of Integer Sequences includes some sequences that are connected with the Bell numbers and that have a particular combinatorial meaning. In this article, we find a general meaning for framing sequences, including the above mentioned ones. Furthermore, by using Laguerre-type derivatives, we derive the Laguerre-type Bell numbers of higher order, showing, as a by-product, that it i...
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متن کاملRecursive Relations for Bell Polynomials of Arbitrary Positive Non-Integer Order
A recursive relation for Bell polynomials of arbitrary order is given. Such a result is useful, in that it allows us to define a Bell polynomial of order α ∈ R without resorting to more complicated constructions, such as fractional calculus, or other methods employed in the literature. One drawback is that the recursive definition requires infinite many terms when α / ∈ R. are defined as B n (x...
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ژورنال
عنوان ژورنال: Applicable Analysis and Discrete Mathematics
سال: 2017
ISSN: 1452-8630,2406-100X
DOI: 10.2298/aadm1702327n