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Some applications of the stirling numbers of the first and second kind

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Abstract

By using the familiar Stirling numbers, we derive the explicit forms of the weighted Newton-Cotes integration formulas and the weighted Adams-Bashforth and Adams-Moulton rules in terms of the Stirling numbers of the first and second kind. Some illustrative examples involving the Fredholm integral equation of the second kind are also considered.

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Authors and Affiliations

  1. Department of Mathematics, K. N. Toosi University of Technology, 16315-1618 , Tehran, Iran

    Mohammad Masjed-Jamei

  2. Department of Financial Sciences, University of Economic Sciences, 15875-1111 , Tehran, Iran

    M. A. Jafari

  3. Department of Mathematics and Statistics, University of Victoria, Victoria, BC , V8W 3R4, Canada

    H. M. Srivastava

Authors
  1. Mohammad Masjed-Jamei
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  2. M. A. Jafari
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  3. H. M. Srivastava
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Correspondence to Mohammad Masjed-Jamei.

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Masjed-Jamei, M., Jafari, M.A. & Srivastava, H.M. Some applications of the stirling numbers of the first and second kind. J. Appl. Math. Comput. 47, 153–174 (2015). https://doi.org/10.1007/s12190-014-0767-4

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  • DOI: https://doi.org/10.1007/s12190-014-0767-4

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