Convoluted Fibonacci Numbers and Their Applications

Taekyun Kim1, Dmitry V. Dolgy2, Dae San Kim3, Jong Jin Seo4
1Department of Mathematics, College of Science, Tianjin Polytechnic Uni- Versity, Tianjin City, 300387, China,
2Institute of Mathematics and Computer Science, Far Eastern Federal Uni- Versity, 690950 Vladivvostok, Russia
3Department Of Mathematics, Sogang University, Seoul 121-742, Republic of Korea
4Department of Applied Mathematics, Pukyong National University, Busan, Republic Of Korea

Abstract

In this paper, we present a new approach to the convolved Fibonacci numbers arising from the generating function of them and give some new and explicit identities for the convolved Fibonacci numbers.