Identities on the changhee numbers and apostol-type daehee polynomials

ŞİMŞEK Y.

Advanced Studies in Contemporary Mathematics (Kyungshang), cilt.27, sa.2, ss.199-212, 2017 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.23001/ascm2017.27.2.199
  • Dergi Adı: Advanced Studies in Contemporary Mathematics (Kyungshang)
  • Derginin Tarandığı İndeksler: Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.199-212
  • Anahtar Kelimeler: Apostol-bernoulli numbers and polynomials, Apostol-type daehee numbers, Array polynomials, Bernoulli numbers and polynomials, Changhee numbers and polynomials, Daehee numbers and polyno-mials, Functional equation, Generating function, Stirling numbers
  • Akdeniz Üniversitesi Adresli: Evet

Özet

© 2017 SAE International. All rights reserved.By using generating functions and p-adic integral methods, we study, survey, and investigate various properties of the special numbers and polynomials including the Bernoulli numbers and polynomials, the Euler numbers and polynomials, the Changhee numbers and polynomials, the Daehee numbers and polynomials, the Bernoulli numbers and polynomials of the second kind, the Stirling numbers, and the Catalan numbers. We define Apostol-type Daehee numbers and polynomials of higher order. We derive some properties, relations and identities on these numbers and polynomials. Finally, we give some applications of the p-adic Volkenborn integral including the special numbers and polynomials. We give some remarks and observations associated with the Bernoulli numbers, the Euler numbers, the Daehee numbers, and the Changhee numbers.