On a class of determinants

Details On a class of determinants On a class of determinants

2009-07-07

arxiv.org/abs/0907.1152v1

Mathematics

Combinatorics

Scientific paper

A class of determinants is introduced. Different kind of mathematical objects, such as Fibonacci, Lucas, Tchebychev, Hermite, Laguerre, Legendre polynomials, sums and covergents are represented as determinants from this class. A closed formula in which arbitrary term of a homogenous linear recurrence equation is expressed in terms of the initial conditions and the coefficients is proved.

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