International Journal of Mathematics and Mathematical Sciences 
Volume 6 (1983), Issue 3, Pages 545-550
doi:10.1155/S0161171283000496

Fibonacci polynominals of order k, multinomial expansions and probability

Andreas N. Philippou,1 Costas Georghiou,2 and George N. Philippou3

 1Department of Mathematics, Univeristy of Patras, Patras, Greece
2School of Engineering, Univeristy of Patras, Patras, Greece
3Department of General Studies, Higher Technical Institute, Nicosia, Cyprus
Received 31 October 1982

Abstract

The Fibonacci polynomials of order k are introduced and two expansions of them are obtained, in terms of the multinomial and binomial coefficients, respectively. A relation between them and probability is also established. The present work generalizes results of [2] - [4] and [5].