Some new identities and formulas for higher-order combinatorial-type numbers and polynomials
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DOI: 10.2298/fil2002551k
Abstract: The main purpose of this paper is to provide various identities and formulas for higherorder combinatorial-type numbers and polynomials with the help of generating functions and their both functional equations and derivative formulas. The results… read more here.
Keywords: numbers polynomials; combinatorial type; type numbers; identities formulas ... See more keywords
On the Solutions of Quaternion Difference Equations in Terms of Generalized Fibonacci-Type Numbers
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DOI: 10.3390/sym14102190
Abstract: The aim of this paper is to investigate the solution of the following difference equation zn+1=(pn)−1,n∈N0,N0=N∪0 where pn=a+bzn+czn−1zn with the parameters a, b, c and the initial values z−1,z0 are nonzero quaternions such that their… read more here.
Keywords: difference equations; fibonacci type; type numbers; generalized fibonacci ... See more keywords