#### Title

Generalized Exponential Euler Polynomials and Exponential Splines

#### 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.

#### Disciplines

Applied Mathematics | Mathematics

#### Recommended Citation

He, Tian-Xiao, "Generalized Exponential Euler Polynomials and Exponential Splines" (2011). *Scholarship*. 54.

https://digitalcommons.iwu.edu/math_scholarship/54

## Comments

The

Open Journal of Discrete Mathematicsis published by Scientific Research Publishing (SCIRP), http://www.scirp.org/journal/ojdm/.