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 language | American English |
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Journal | Open Journal of Discrete Mathematics |
Volume | 1 |
State | Published - May 20 2011 |
Keywords
- B-Spline
- Euler-Frobenius Polynomial
- Eulerian Fraction
- Eulerian Number
- Eulerian Polynomial
- Exponential Euler Polynomial
- Exponential Spline
Disciplines
- Applied Mathematics
- Mathematics