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On degenerate Bell numbers and polynomials

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

Recently, several authors have studied the degenerate Bernoulli and Euler polynomials and given some intersting identities of those polynomials. In this paper, we consider the degenerate Bell numbers and polynomials and derive some new identities of those numbers and polynomials associated with special numbers and polynomials. In addition, we investigate some properties of the degenerate Bell polynomials which are derived by using the notion of composita. From our investigation, we give some new relations between the degenerate Bell polynomials and the special polynomials.

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Acknowledgments

The authors would like to thank the referees for their valuable comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Sogang University, Seoul, 121-742, Republic of Korea

    Dae San Kim

  2. Department of Mathematics, Kwangwoon University, Seoul, 139-701, Republic of Korea

    Taekyun Kim

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  1. Dae San Kim
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  2. Taekyun Kim
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Correspondence to Taekyun Kim.

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Kim, D.S., Kim, T. On degenerate Bell numbers and polynomials. RACSAM 111, 435–446 (2017). https://doi.org/10.1007/s13398-016-0304-4

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  • DOI: https://doi.org/10.1007/s13398-016-0304-4

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