A Trigonometry Approach to Balancing Numbers and Their Related Sequences

  • Prasanta Kumar Ray IIIT Bhubaneswar India

Resumo

The balancing numbers satisfy the second order linear homogeneous dierence equation Bn+1 = 6Bn - Bn-1, on the other hand the Fibonacci numbers are solution of the second order linear homogeneous dierence equation Fn+1 = Fn + Fn-1; where Bn and Fn denote the nth balancing number and nth Fibonacci number respectively. In a paper, Smith introduce Fibonometry in connection with a dierential equation called Fibonometric dierential equation. In this study, we first introduce the balancometric dierential equation and then obtain the balancometric functions as solutions of this equation.

Biografia do Autor

Prasanta Kumar Ray, IIIT Bhubaneswar India

Mathematics

Assistant Professor

Referências

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Publicado
21-08-2017
Seção
Mathematics