SOME RELATIONS FOR UNIVERSAL BERNOULLI POLYNOMIALS
UFA MATHEMATICAL JOURNAL, vol.11, no.4, pp.131-139, 2019 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 11 Issue: 4
- Publication Date: 2019
- Doi Number: 10.13108/2019-11-4-131
- Journal Name: UFA MATHEMATICAL JOURNAL
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.131-139
- Keywords: Bernoulli polynomials and numbers, formal group, integrals, Fourier series, HIGHER-ORDER BERNOULLI, PRODUCTS
- Open Archive Collection: AVESIS Open Access Collection
- Akdeniz University Affiliated: Yes
Abstract
In this paper, we consider a generalization of the Bernoulli polynomials, which we call universal Bernoulli polynomials. They are related to the Lazard universal formal group. The corresponding numbers by construction coincide with the universal Bernoulli numbers. They turn out to have an important role in complex cobordism theory. They also obey generalizations of the celebrated Kummer and Clausen-von Staudt congruences.