Bivariate extension of the r-Dowling polynomials and two forms of generalized Spivey’s formula

Mahid M. Mangontarum ()
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Mahid M. Mangontarum: Mindanao State University–Main Campus

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 3, 703-712

Abstract: Abstract We extend the notion of r-Dowling polynomials to their bivariate forms and establish several properties that generalize those of the bivariate Bell and r-Bell polynomials. Lastly, we obtain two forms of generalized Spivey’s formula.

Keywords: Bivariate Bell polynomials; Spivey’s formula; r-Dowling polynomials; r-Whitney numbers of the second kind; Primary 05A19; Secondary 11B83; 11B73 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00288-9

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