### A class of orthogonal polynomials of a new type.

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We prove that any linear ordinary differential operator with complex-valued coefficients continuous in an interval I can be factored into a product of first-order operators globally defined on I. This generalizes a theorem of Mammana for the case of real-valued coefficients.

Shifting a numerically given function ${b}_{1}exp{a}_{1}t+\cdots +{b}_{n}exp{a}_{n}t$ we obtain a fundamental matrix of the linear differential system $\dot{y}=Ay$ with a constant matrix $A$. Using the fundamental matrix we calculate $A$, calculating the eigenvalues of $A$ we obtain ${a}_{1},\cdots ,{a}_{n}$ and using the least square method we determine ${b}_{1},\cdots ,{b}_{n}$.