Generalized Exponential Euler Polynomials and Exponential Splines

• 作者: Tian-xiao He
• 来源期刊: 离散数学期刊(英文)
• 学科: 数学
• 关键词: EULERIAN POLYNOMIAL EULERIAN Number EULERIAN Fraction EXPONENTIAL EULER POLYNOMIAL Euler-Frobenius POLYNOMIAL B-SPLINE EXPONENTIAL Spline
• 年，卷（期）: 2011,（2）
• 页码范围: 35-42
• 页数: 8页
• 分类号: O1

摘要

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.