Author(s)

Youmna H. Zaid, F. A. Shiha, B. S. El-Desouky^*

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt.

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.

Generalized Central Factorial Numbers with Odd Arguments, Pascal Matrix, Legendre-Stirling Numbers

Zaid, Y. , Shiha, F. and El-Desouky, B. (2020) Generalized Central Factorial Numbers with Odd Arguments. Open Journal of Modelling and Simulation, 8, 61-72. doi: 10.4236/ojmsi.2020.83005.