The multiparameter r-Whitney numbers

B. S. El-Desouky, F. A. Shiha, Ethar M. Shokr


In this paper, we dened the multiparameter r-Whitney numbers
of the rst and second kind. The recurrence relations, the generating
functions of these numbers, explicit formulas and some combinatorial
identities are derived. Some relations between these numbers and gen-
eralized Stirling numbers of the rst and second kind, Lah numbers,
C-numbers and harmonic numbers are deduced. Furthermore, some in-
teresting special cases are given. Finally matrix representation for these
relations are given.


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