Some Convolution Formulae Related to the Second-Order Linear Recurrence Sequence

@article{Chen2019SomeCF,
  title={Some Convolution Formulae Related to the Second-Order Linear Recurrence Sequence},
  author={Zhuoyu Chen and Lan Qi},
  journal={Symmetry},
  year={2019},
  volume={11},
  pages={788}
}
The main aim of this paper is that for any second-order linear recurrence sequence, the generating function of which is f ( t ) = 1 1 + a t + b t 2 , we can give the exact coefficient expression of the power series expansion of f x ( t ) for x ∈ R with elementary methods and symmetry properties. On the other hand, if we take some special values for a and b, not only can we obtain the convolution formula of some important polynomials, but also we can establish the relationship between… Expand
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