Bivariate Extension of the r-Dowling Polynomials and the Generalized\n Spivey's Formula

2020/05/15 by Mahid M. Mangontarum, Mangontarum, Mahid M.
Mathematics · Physics and Astronomy · #05A19 #11B73 #11B83 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #FOS: Mathematics #General Mathematics (math.GM) #Mathematical Inequalities and Applications #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.2005.08730

openalex publication_date 2020/05/15 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

In this paper, we extend the r-Dowling polynomials to their bivariate forms.\nSeveral properties that generalize those of the bivariate Bell and r-Bell\npolynomials are established. Finally, we obtain two forms of generalized\nSpivey's formula.\n

Related

• Recurrence relations for degenerate Bell and Dowling polynomials via Boson operators
• Probabilistic generalization of Spivey-type relation for degenerate Bell polynomials
• Higher Order r-Dowling polynomials
• Generalized bivariate Fibonacci polynomials
• An application of the partial r-Bell polynomials on some family of\n bivariate polynomials