Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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GENERATING FUNCTIONS FOR LEGENDRE-BASED POLY-BERNOULLI NUMBERS AND POLYNOMIALS

  • Khan, N.U. (Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University) ;
  • Usman, Talha (Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University) ;
  • Aman, Mohd (Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University)
  • Received : 2017.01.11
  • Accepted : 2017.05.16
  • Published : 2017.06.25
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Abstract

In this paper, we introduce a generating function for a Legendre-based poly-Bernoulli polynomials and give some identities of these polynomials related to the Stirling numbers of the second kind. By making use of the generating function method and some functional equations mentioned in the paper, we conduct a further investigation in order to obtain some implicit summation formulae for the Legendre-based poly-Bernoulli numbers and polynomials.

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References

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