Generalized Exponential Euler Polynomials and Exponential Splines

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Abstract

Here presented is constructive generalization of exponential Euler polynomial and exponential splines based on the interrelationship between the set of concepts of Eulerian polynomials, Eulerian numbers, and Eulerian fractions and the set of concepts related to spline functions. The applications of generalized exponential Euler polynomials in series transformations and expansions are also given.

Original languageAmerican English
JournalOpen Journal of Discrete Mathematics
Volume1
StatePublished - May 20 2011

Keywords

  • Eulerian Polynomial
  • Eulerian Number
  • Eulerian Fraction
  • Exponential Euler Polynomial
  • Euler-Frobenius Polynomial
  • B-Spline
  • Exponential Spline

Disciplines

  • Applied Mathematics
  • Mathematics

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