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A New Type of Euler Polynomials and Numbers

  • M. Masjed-Jamei
  • M. R. Beyki
  • W. KoepfEmail author
Article

Abstract

By defining two specific exponential generating functions, we introduce a kind of Euler polynomials and study its basic properties in detail. As an application of the introduced polynomials, we use them in computing some new series of Taylor type that contain the associated Euler numbers \(E_n(0)\) where \(E_n(x)\) is the Euler polynomial.

Keywords

Euler numbers and polynomials Appell polynomials binomial convolution exponential generating functions 

Mathematics Subject Classification

11B68 11C08 11Y35 

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsK. N. Toosi University of TechnologyTehranIran
  2. 2.Department of MathematicsUniversity of KasselKasselGermany

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