Identities and Relations Associated with Lucas and some Special Sequences

Ozdemir G., ŞİMŞEK Y.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Yunanistan, 19 - 25 Eylül 2016, cilt.1863 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1863
  • Doi Numarası: 10.1063/1.4992452
  • Basıldığı Şehir: Rhodes
  • Basıldığı Ülke: Yunanistan
  • Anahtar Kelimeler: Bernoulli numbers and polynomials, Euler numbers and polynomials, Fibonacci numbers, Lucas Numbers, generating functions, functional equations
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this article, by using generating functions method we derive some new identities and relations related to the Fibonacci numbers, Lucas numbers, Bernoulli numbers, Euler numbers. We also give a relation between Lucas numbers of order k and the numbers y(3)(n, k; lambda; a, b) which were defined by the second author [7].