Bell polynomials and binomial type sequences
نویسندگان
چکیده
منابع مشابه
The role of binomial type sequences in determination identities for Bell polynomials
Our paper deals about identities involving Bell polynomials. Some identities on Bell polynomials derived using generating function and successive derivatives of binomial type sequences. We give some relations between Bell polynomials and binomial type sequences in first part, and, we generalize the results obtained in [4] in second part.
متن کاملLaguerre-type Bell polynomials
We develop an extension of the classical Bell polynomials introducing the Laguerre-type version of this well-known mathematical tool. The Laguerre-type Bell polynomials are useful in order to compute the nth Laguerre-type derivatives of a composite function. Incidentally, we generalize a result considered by L. Carlitz in order to obtain explicit relationships between Bessel functions and gener...
متن کاملA Linear Binomial Recurrence and the Bell Numbers and Polynomials
By iterating (0.2), f(n + r) can be written as a linear combination of binomial coefficients with polynomial coefficients Arj(n), 0 ≤ j ≤ r − 1. The polynomials Arj(n) have various interesting properties. This paper provides a sampling of these properties, including two new ways to represent B(n) in terms of Arj (n).
متن کاملPadovan-like sequences and Bell polynomials
We study a class of Padovan-like sequences that can be generated using special matrices of the third order. We show that terms of any sequence of this class can be expressed via Bell polynomials and their derivatives that use as arguments terms of another such sequence with smaller indexes. CAS Mathematica is used for cumbersome calculations and hypothesis testing.
متن کاملIdentities on Bell polynomials and Sheffer sequences
In this paper, we study exponential partial Bell polynomials and Sheffer sequences. Two new characterizations of Sheffer sequences are presented, which indicate the relations between Sheffer sequences and Riordan arrays. Several general identities involving Bell polynomials and Sheffer sequences are established, which reduce to some elegant identities for associated sequences and cross sequences.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2008
ISSN: 0012-365X
DOI: 10.1016/j.disc.2007.05.010