SPECIAL VALUES OF THE BELL POLYNOMIALS OF THE SECOND KIND FOR SOME SEQUENCES AND FUNCTIONS

Feng Qi (1, 2, 3) , Da-Wei Niu (4) , Dongkyu Lim (5) , Yong-Hong Yao (2)

1 Henan Polytechnic University
2 Tianjin Polytechnic University
3 Inner Mongolia University for Nationalities
4 Henan University of Animal Husbandry and Economy
5 Andong National University

In the paper, after concisely surveying some closed formulas and applications of special values of the Bell polynomials of the second kind for some special sequences and elementary functions, the authors newly establish some closed formulas for some special values of the Bell polynomials of the second kind.

Mots clés: survey; closed formula; special value; Bell polynomial of the second kind; sequence; elementary function; application

Domaines: Combinatoire [math.CO]; Théorie des nombres [math.NT]; Analyse classique [math.CA]

Feng Qi, Da-Wei Niu, Dongkyu Lim, Yong-Hong Yao. SPECIAL VALUES OF THE BELL POLYNOMIALS OF THE SECOND KIND FOR SOME SEQUENCES AND FUNCTIONS. Journal of Mathematical Analysis and Applications, 2020, 491 (2), 13 p. ⟨10.1016/j.jmaa.2020.124382⟩. ⟨hal-01766566v2⟩