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Korobov Polynomials of the Fifth Kind and of the Sixth Kind
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  • Journal title : Kyungpook mathematical journal
  • Volume 56, Issue 2,  2016, pp.329-342
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2016.56.2.329
 Title & Authors
Korobov Polynomials of the Fifth Kind and of the Sixth Kind
Kim, Dae San; Kim, Taekyun; Kwon, Hyuck In; Mansour, Toufik;
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 Abstract
Recently, Korobov polynomials have been received a lot of attention, which are discrete analogs of Bernoulli polynomials. In particular, these polynomials are used to derive some interpolation formulas of many variables and a discrete analog of the Euler summation formula. In this paper, we extend these family of polynomials to consider the Korobov polynomials of the fifth kind and of the sixth kind. We present several explicit formulas and recurrence relations for these polynomials. Also, we establish a connection between our polynomials and several known families of polynomials.
 Keywords
Bernoulli polynomials;Frobenius-Euler polynomials;Korobov polynomials;Umbral calculus;
 Language
English
 Cited by
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