Interpolation Function for the Families of Numbers Related to the Apostol-Type Numbers

ŞİMŞEK Y.

International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), Thessaloniki, Yunanistan, 25 - 30 Eylül 2017, cilt.1978 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1978
  • Doi Numarası: 10.1063/1.5043696
  • Basıldığı Şehir: Thessaloniki
  • Basıldığı Ülke: Yunanistan
  • Anahtar Kelimeler: Generating function, Functional equations, Special numbers and polynomials, Binomial coefficients, Euler numbers, Apostol-Euler numbers and polynomials, Apostol-type numbers, Interpolation function, Riemann zeta function, Lerch-type zeta function, EULER NUMBERS, POLYNOMIALS, ZETA, BERNOULLI, SUMS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The aim of this paper is to give interpolation function for the families of numbers which are associated with not only the Apostol-Bernoulli numbers, but also the Apostol-Euler numbers and the Apostol-Genocchi numbers. We investigate some properties of these functions and these numbers. Moreover, we give some formulas including these functions and these numbers. Finally, we also give some observations related to well-known families of zeta-type functions.