ON THE INTEGRAL OF PRODUCTS OF HIGHER-ORDER BERNOULLI AND EULER POLYNOMIALS

Creative Commons License

DAĞLI M. C., CAN M.

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, cilt.57, sa.1, ss.7-20, 2017 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 57 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.7169/facm/1567
  • Dergi Adı: FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.7-20
  • Anahtar Kelimeler: Bernoulli polynomials and numbers, Dedekind sums, integrals, recurrence relations, DEDEKIND SUMS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we derive a formula on the integral of products of the higher-order Euler polynomials. By the same method, similar relations are obtained for l higher-order Bernoulli polynomials and r higher-order Euler polynomials. Moreover, we establish a connection between these results and the generalized Dedekind sums and Hardy-Berndt sums.