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

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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.

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Acknowledgements

The author is thankful to the anonymous referee for his helpful comments that improved the clarity of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Mindanao State University–Main Campus, Marawi City, 9700, Philippines

    Mahid M. Mangontarum

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  1. Mahid M. Mangontarum
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Correspondence to Mahid M. Mangontarum.

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Communicated by B. Sury.

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Mangontarum, M.M. Bivariate extension of the r-Dowling polynomials and two forms of generalized Spivey’s formula. Indian J Pure Appl Math 54, 703–712 (2023). https://doi.org/10.1007/s13226-022-00288-9

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  • DOI: https://doi.org/10.1007/s13226-022-00288-9

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