Partial Hecke-type operators and their applications

作者：Aygunes Aykut Ahmet; Simsek Yilmaz^*

来源：Boundary Value Problems, 2013, 2013(1): 46.

DOI：10.1186/1687-2770-2013-46

• Bernoulli polynomial
• Euler polynomial
• partial Hecke-type operator
• total Hecke-type operator
• Hurwitz zeta function
• partial zeta function

The aim of this paper is to give not only the matrix representation of partial Hecke-type operators by means of Bernoulli polynomials and Euler polynomials, but also functional equations and differential equations related to partial Hecke-type operators and special polynomials. By using these functional equations and differential equations, we derive some identities associated with special polynomials and partial Hecke-type operators. Moreover, we find several useful identities and relations using the partial Hecke operators.

• 出版日期2013-3-6