TITLE:
Generalized Exponential Euler Polynomials and Exponential Splines
AUTHORS:
Tian-xiao He
KEYWORDS:
Eulerian Polynomial, Eulerian Number, Eulerian Fraction, Exponential Euler Polynomial, Euler-Frobenius Polynomial, B-Spline, Exponential Spline
JOURNAL NAME:
Open Journal of Discrete Mathematics,
Vol.1 No.2,
July
6,
2011
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.