Open AccessThe multiparameter r-Whitney numbers
Author(s) -
F. A. Shiha,
M Ethar Shokr
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1903931e
Subject(s) - mathematics , recurrence relation , harmonic number , stirling number , stirling numbers of the first kind , representation (politics) , combinatorics , generating function , matrix representation , stirling numbers of the second kind , algebra over a field , pure mathematics , group (periodic table) , riemann zeta function , chemistry , organic chemistry , politics , political science , law
In this paper, we define the multiparameter r-Whitney numbers of the first and second kind. The recurrence relations, generating functions , explicit formulas of these numbers and some combinatorial identities are derived. Some relations between these numbers and generalized Stirling numbers of the first and second kind, Lah numbers, C-numbers and harmonic numbers are deduced. Furthermore, some interesting special cases are given. Finally matrix representation for these relations are given.