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

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

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.

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Veröffentlicht in:Indian journal of pure and applied mathematics 2023-09, Vol.54 (3), p.703-712
1. Verfasser: Mangontarum, Mahid M.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Bivariate analysis
Combinatorial analysis
Mathematics
Mathematics and Statistics
Numerical Analysis
Original Research
Polynomials
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Beschreibung
Zusammenfassung: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.
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-022-00288-9