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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]

international journal of mathematics and mathematical sciences

Fibonacci polynominals of order<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$k$"><mml:mi>k</mml:mi></mml:math>, multinomial expansions and probability

Fibonacci polynominals of orderk, multinomial expansions and probability