Hye Kyung Kim1,*, Dae Sik Lee2
CMES-Computer Modeling in Engineering & Sciences, Vol.133, No.3, pp. 825-842, 2022, DOI:10.32604/cmes.2022.022103
- 03 August 2022
Abstract The generating functions of special numbers and polynomials have various applications in many fields as well
as mathematics and physics. In recent years, some mathematicians have studied degenerate version of them
and obtained many interesting results. With this in mind, in this paper, we introduce the degenerate r-Dowling
polynomials and numbers associated with the degenerate r-Whitney numbers of the second kind. We derive
many interesting properties and identities for them including generating functions, Dobinski-like formula, integral
representations, recurrence relations, differential equation and various explicit expressions. In addition, we explore
some expressions for them that can be More >
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