Three closed forms for convolved Fibonacci numbers

Autor:	Feng Qi
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	closed form convolved fibonacci number fa\`a di bruno formula bell polynomial of the second kind higher order derivative generating function falling factorial rising factorial lah number stirling number of the first kind golden ratio Analysis QA299.6-433
Zdroj:	Results in Nonlinear Analysis, Vol 3, Iss 4, Pp 185-195 (2020)
Druh dokumentu:	article
ISSN:	2636-7556
Popis:	In the paper, by virtue of the Faà di Bruno formula and several properties of the Bell polynomials of the second kind, the author computes higher order derivatives of the generating function of convolved Fibonacci numbers and, consequently, derives three closed forms for convolved Fibonacci numbers in terms of the falling and rising factorials, the Lah numbers, the signed Stirling numbers of the first kind, and the golden ratio.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/1782d3141ae842439f84afa78ac610c7 Zobrazit plný text záznamu View record in DOAJ