TITLE:
Generalized Central Factorial Numbers with Odd Arguments
AUTHORS:
Youmna H. Zaid, F. A. Shiha, B. S. El-Desouky
KEYWORDS:
Generalized Central Factorial Numbers with Odd Arguments, Pascal Matrix, Legendre-Stirling Numbers
JOURNAL NAME:
Open Journal of Modelling and Simulation,
Vol.8 No.3,
June
17,
2020
ABSTRACT: In this
paper, we consider r-generalization of
the central factorial numbers with odd arguments of the first and second kind. Mainly,
we obtain various identities and properties related to these numbers. Matrix representation
and the relation between these numbers and Pascal matrix are given. Furthermore,
the distributions of the signless r-central factorial numbers are derived. In addition,
connections between these numbers and the Legendre-Stirling numbers are given.