Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A NEW CLASS OF GENERALIZED POLYNOMIALS ASSOCIATED WITH HERMITE-BERNOULLI POLYNOMIALS

  • GOUBI, MOULOUD (Department of Mathematics, Faculty of Sciences, UMMTO University)
  • Received : 2019.07.06
  • Accepted : 2020.01.16
  • Published : 2020.05.30
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Abstract

In this paper, we introduce and investigate a new class of generalized polynomials associated with Hermite-Bernoulli polynomials of higher order. This generalization is a unification formula of Bernoulli numbers, Bernoulli polynomials, Hermite-Bernoulli polynomials of Dattoli, generalized Hermite-Bernoulli polynomials for two variables of order α and new other families of polynomials depending on any generating function f.

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References

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