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The Noncentral Version of the Whitney Numbers: A Comprehensive Study

Author

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  • Mahid M. Mangontarum
  • Omar I. Cauntongan
  • Amila P. Macodi-Ringia

Abstract

This paper is a comprehensive study of a certain generalization of Whitney-type and Stirling-type numbers which unifies the classical Whitney numbers, the translated Whitney numbers, the classical Stirling numbers, and the noncentral Stirling (or -Stirling) numbers. Several identities, applications, and occurrences are also presented.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jijmms:6206207
    DOI: 10.1155/2016/6206207
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    References listed on IDEAS

    as
    1. Cristina B. Corcino & Roberto B. Corcino & Nestor Acala, 2014. "Asymptotic Estimates for r -Whitney Numbers of the Second Kind," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-7, February.
    2. Cristina B. Corcino & Roberto B. Corcino, 2013. "Asymptotic Estimates for Second Kind Generalized Stirling Numbers," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-7, August.
    3. Roberto B. Corcino & Cristina B. Corcino & Peter John B. Aranas, 2015. "The Peak of Noncentral Stirling Numbers of the First Kind," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2015, pages 1-7, October.
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    Cited by:

    1. 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.

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