scholarly journals On poly-Bell numbers and polynomials

2020 ◽  
pp. 1-21
Author(s):  
Ghania Guettai ◽  
Diffalah Laissaoui ◽  
Mourad Rahmani ◽  
Madjid Sebaoui
Keyword(s):  
Bell Numbers

scholarly journals Complete and incomplete Bell polynomials associated with Lah–Bell numbers and polynomials

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Taekyun Kim ◽  
Dae San Kim ◽  
Lee-Chae Jang ◽  
Hyunseok Lee ◽  
Han-Young Kim
Keyword(s):  
Bell Polynomials ◽  
Bell Numbers ◽  
Bell Number ◽  
Finite Sums

AbstractThe nth r-extended Lah–Bell number is defined as the number of ways a set with $n+r$ n + r elements can be partitioned into ordered blocks such that r distinguished elements have to be in distinct ordered blocks. The aim of this paper is to introduce incomplete r-extended Lah–Bell polynomials and complete r-extended Lah–Bell polynomials respectively as multivariate versions of r-Lah numbers and the r-extended Lah–Bell numbers and to investigate some properties and identities for these polynomials. From these investigations we obtain some expressions for the r-Lah numbers and the r-extended Lah–Bell numbers as finite sums.

Bell numbers, determinants and series

2013 ◽  
Vol 123 (2) ◽  
pp. 151-166 ◽  
Author(s):  
P K SAIKIA ◽  
DEEPAK SUBEDI
Keyword(s):  
Bell Numbers

Some inequalities for the Bell numbers

2017 ◽  
Vol 127 (4) ◽  
pp. 551-564 ◽  
Author(s):  
Feng Qi
Keyword(s):  
Bell Numbers

Stirling and Bell Numbers

2020 ◽  
pp. 277-300
Author(s):  
Craig P. Bauer
Keyword(s):  
Bell Numbers

Complementary Bell Numbers: Arithmetical Properties and Wilf’s Conjecture

2013 ◽  
pp. 23-56
Author(s):  
Tewodros Amdeberhan ◽  
Valerio De Angelis ◽  
Victor H. Moll
Keyword(s):  
Bell Numbers ◽  
Wilf’S Conjecture

Bell–Sheffer exponential polynomials of the second kind

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Pierpaolo Natalini ◽  
Paolo Emilio Ricci
Keyword(s):  
Higher Order ◽  
Bell Numbers ◽  
Integer Sequences ◽  
Exponential Polynomials ◽  
Sheffer Polynomials

AbstractIn recent papers, new sets of Sheffer and Brenke polynomials based on higher order Bell numbers and several integer sequences related to them have been studied. In the present paper, new sets of Bell–Sheffer polynomials are introduced. Connections with Bell numbers are shown.

Bell Numbers and Variant Sequences Derived from a General Functional Differential Equation

Integers ◽  
2009 ◽  
Vol 9 (5) ◽  
Author(s):  
H. W. Gould ◽  
Jocelyn Quaintance
Keyword(s):  
Differential Equation ◽  
Functional Differential Equation ◽  
Bell Numbers ◽  
Functional Differential

AbstractIt is well known that the Bell numbers

Derangements and Bell Numbers

1993 ◽  
Vol 66 (5) ◽  
pp. 299-303 ◽  
Author(s):  
Robert J. Clarke ◽  
Marta Sved
Keyword(s):  
Bell Numbers
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