Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772669 | Journal of Number Theory | 2017 | 25 Pages |
Abstract
It is the main purpose of this paper to study shortened recurrence relations for generalized Bernoulli numbers and polynomials attached to Ï, Ï being a primitive Dirichlet character, in which some of the preceding numbers or polynomials are completely excluded. As a result, we are able to establish several kinds of such type recurrences by generalizing some known identities on classical Bernoulli numbers and polynomials such as Saalschütz-Gelfand and von Ettingshausen-Stern's formulas. Furthermore, we discuss shortened recurrence relations for special values of the Riemann zeta and its allied functions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Takashi Agoh,