Higher order Bell polynomials and the relevant integer sequences

Applicable Analysis and Discrete Mathematics

article

Pierpaolo Natalini¹  Paolo Emilio Ricci² 

[1] Dipartimento di Matematica e Fisica Universit`a degli Studi Roma Tre Largo San Leonardo Murialdo;International Telematic University UniNettuno Corso Vittorio Emanuele II

关键词: Combinatorial analysis;    Differentiation of composite functions;    Higher order Bell polynomials and number;    Bell Polynomials;    partitions;   

DOI  :  10.2298/AADM1702327N

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

The recurrence relation for the coefficients of higher order Bell polynomials,i.e. of the Bell polynomials relevant to nth derivative of a multiple composite function, is proved. Therefore, starting from this recurrence relationand by using the computer algebra program Mathematicac, some tables forcomplete higher order Bell polynomials and the relevant numbers are derived.

【 授权许可】

Unknown