Higher-order Euler-type polynomials and their applications

Fixexd point theory and applications

Aykut Ahmet Aygunes¹ 

[1]Department of Mathematics, Faculty of Science, University of Akdeniz, Antalya, Turkey

关键词: generalized partial Hecke operators;    higher-order Euler-type polynomials;    higher-order Euler-type numbers;    Apostol-Bernoulli polynomials;    Frobenius-Euler polynomials;    Euler polynomials;    Euler numbers;    functional equation;    generating functions;   

DOI  :  10.1186/1687-1812-2013-40

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we construct generating functions for higher-order Euler-type polynomials and numbers. By using the generating functions, we obtain functional equations related to a generalized partial Hecke operator and Euler-type polynomials and numbers. A special case of higher-order Euler-type polynomials is eigenfunctions for the generalized partial Hecke operators. Moreover, we give not only some properties, but also applications for these polynomials and numbers. AMS Subject Classification:08A40, 11F25, 11F60, 11B68, 30D05.

【 授权许可】

CC BY