Extended Fibonacci numbers and polynomials with probability applications

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ID: 28887
2004
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Abstract
The extended Fibonacci sequence of numbers and polynomials is introduced and studied. The generating function, recurrence relations, an expansion in terms of multinomial coefficients, and several properties of the extended Fibonacci numbers and polynomials are obtained. Interesting relations between them and probability problems which take into account lengths of success and failure runs are also established.
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antzoulakos2004extendedinternational Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Antzoulakos, Demetrios L.;
Journal international journal of mathematics and mathematical sciences
Year 2004
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