Decomposable polynomials in second order linear recurrence sequences


Decomposable polynomials in second order linear recurrence sequences is a scholarly work, published in 2018 in ''Manuscripta Mathematica''. The main subjects of the publication include biological sequence, algebraic geometry, number theory, stock order, bifurcation theory, Lie algebra, discrete mathematics, constant, combinatorics, mathematics, bounded function, and recurrence relation. The authors study elements of second order linear recurrence sequences $$(G_n)_{n= 0}^{\infty }$$ of polynomials in $${{\mathbb {C}}}x$$ which are decomposable, i.e. representable as $$G_n=g\circ h$$ for some $$g, h\in {{\mathbb {C}}}x$$ satisfying $$\deg g,\deg h>1$$ .