Generalized Exponential Euler Polynomials and Exponential Splines

Tian-xiao He

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DOI: 10.4236/ojdm.2011.12005                

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.

Keywords

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

Conflicts of Interest

The authors declare no conflicts of interest.

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