The sums of the reciprocals of Fibonacci polynomials and Lucas polynomials

@article{Wu2012TheSO,
  title={The sums of the reciprocals of Fibonacci polynomials and Lucas polynomials},
  author={Zhengang Wu and W. Zhang},
  journal={Journal of Inequalities and Applications},
  year={2012},
  volume={2012},
  pages={1-8}
}
In this article, we consider infinite sums derived from the reciprocals of the Fibonacci polynomials and Lucas polynomials, and infinite sums derived from the reciprocals of the square of the Fibonacci polynomials and Lucas polynomials. Then applying the floor function to these sums, we obtain several new equalities involving the Fibonacci polynomials and Lucas polynomials.Mathematics Subject Classification (2010): Primary, 11B39. 
20 Citations
Several identities involving the Fibonacci polynomials and Lucas polynomials
  • 24
  • PDF
Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers
  • 12
  • PDF
Alternating sums of reciprocal generalized Fibonacci numbers
  • 3
On the reciprocal sums of generalized Fibonacci numbers
  • 10
  • PDF
On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives
  • Yang Li
  • Computer Science, Mathematics
  • J. Appl. Math.
  • 2014
  • 2
  • Highly Influenced
  • PDF
On the Reciprocal Sums of Products of Fibonacci Numbers
  • Y. Choo
  • Computer Science, Mathematics
  • J. Integer Seq.
  • 2018
  • 5
  • PDF
Reciprocal Sums of the Tribonacci Numbers
  • 5
  • PDF
...
1
2
...

References

SHOWING 1-7 OF 7 REFERENCES
On the sum of reciprocal generalized Fibonacci numbers
  • 41
  • Highly Influential
  • PDF
On the Fibonacci k-numbers
  • 226
SOME IDENTITIES INVOLVING THE FIBONACCI POLYNOMIALS *
  • 41
  • PDF
The infinite sum of reciprocal Pell numbers
  • 20
Identities Involving the Fibonacci Polynomials
  • 24
Several identities involving the Fibonacci numbers and Lucas numbers
  • Fibon Q. 45, 164–170
  • 2007