SOME RELATIONS FOR UNIVERSAL BERNOULLI POLYNOMIALS

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Dağlı M. C.

UFA MATHEMATICAL JOURNAL, cilt.11, sa.4, ss.131-139, 2019 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.13108/2019-11-4-131
  • Dergi Adı: UFA MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.131-139
  • Anahtar Kelimeler: Bernoulli polynomials and numbers, formal group, integrals, Fourier series, HIGHER-ORDER BERNOULLI, PRODUCTS
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.