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

Author

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  • Mahid M. Mangontarum

    (Mindanao State University–Main Campus)

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.

Suggested Citation

  • Mahid M. Mangontarum, 2023. "Bivariate extension of the r-Dowling polynomials and two forms of generalized Spivey’s formula," Indian Journal of Pure and Applied Mathematics, Springer, vol. 54(3), pages 703-712, September.
  • Handle: RePEc:spr:indpam:v:54:y:2023:i:3:d:10.1007_s13226-022-00288-9
    DOI: 10.1007/s13226-022-00288-9
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    References listed on IDEAS

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    1. Mahid M. Mangontarum & Omar I. Cauntongan & Amila P. Macodi-Ringia, 2016. "The Noncentral Version of the Whitney Numbers: A Comprehensive Study," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2016, pages 1-16, April.
    2. Khristo N. Boyadzhiev, 2009. "Exponential Polynomials, Stirling Numbers, and Evaluation of Some Gamma Integrals," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-18, September.
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