The multiparameter r-Whitney numbers | Zendy

B. S. El-Desouky | Zendy; F. A. Shiha | Zendy; Ethar M. Shokr | Zendy

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The multiparameter r-Whitney numbers

Author(s) -

B. S. El-Desouky,

F. A. Shiha,

Ethar M. 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.

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