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On the properties of k-balancing numbers
2016
Ain Shams Engineering Journal
In this study, a generalization of the sequence of balancing numbers called as k-balancing numbers is considered and some of their properties are established. Further, the balancing polynomials that are the natural extension of k-balancing numbers are presented and observe that many of their properties admit straightforward proofs. The derivatives of these polynomials in the form of convolution are also discussed. Ó 2016 Faculty of Engineering, Ain Shams University. Production and hosting by
doi:10.1016/j.asej.2016.01.014
fatcat:tfl32gsljvbg3kd55jyhtgvz7q