Identities and Relations Associated with Lucas and some Special Sequences

Ozdemir G., ŞİMŞEK Y.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Greece, 19 - 25 September 2016, vol.1863, (Full Text) identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1863
  • Doi Number: 10.1063/1.4992452
  • City: Rhodes
  • Country: Greece
  • Keywords: Bernoulli numbers and polynomials, Euler numbers and polynomials, Fibonacci numbers, Lucas Numbers, generating functions, functional equations
  • Akdeniz University Affiliated: Yes

Abstract

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].