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SOME IDENTITIES INVOLVING THE GENERALIZED POLYNOMIALS OF DERANGEMENTS ARISING FROM DIFFERENTIAL EQUATION

  • Received : 2019.04.23
  • Accepted : 2019.12.14
  • Published : 2020.01.30

Abstract

In this paper we define a new generalized polynomials of derangements. It also derives the differential equations that occur in the generating function of the generalized polynomials of derangements. We establish some new identities for the generalized polynomials of derangements. Finally, we perform a survey of the distribution of zeros of the generalized polynomials of derangements.

Keywords

References

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Cited by

  1. SOME IDENTITIES INVOLVING THE DEGENERATE BELL-CARLITZ POLYNOMIALS ARISING FROM DIFFERENTIAL EQUATION vol.38, pp.5, 2020, https://doi.org/10.14317/jami.2020.427