Academic Researches Index
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Dergiler Duyurular İstatistikler Standartlar Hakkımızda İletişim
  1. Turkish Journal of Mathematics
  2. Arşiv
  3. 2018
  4. Cilt: 42 - Sayı: 3
  5. 1166 -1179
Min-Soo KIM

101106

Some series involving the Euler zeta function

In this paper, using the Boole summation formula, we obtain a new integral representation of $n$-th quasi-periodic Euler functions $\overline{E}_n(x)$ for $n=1,2,\ldots.$ We also prove several series involving Euler zeta functions $\zeta_{E}(s),$ which are analogues of the corresponding results by Apostol on some series involving the Riemann zeta function $\zeta(s).$
Keywords:

Hurwitz-type Euler zeta functions, Euler zeta functions, Euler polynomials, Boole summation formula quasi-periodic Euler functions,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
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