Linear independence of iterates of entire functions
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- by Luis Bernal González PDF
- Proc. Amer. Math. Soc. 112 (1991), 1033-1036 Request permission
Abstract:
We prove the following result: The set $\left \{ {{h_n}:n = 0,1, \ldots } \right \}$ is a linearly independent sequence of entire functions, where ${h_0} = 1,{h_1} = {g_{1,}}{h_2} = {g_1} \circ {g_2},{h_3} = {g_1} \circ {g_2} \circ {g_3}, \ldots ,{g_1}$ is a nonconstant entire function and ${g_n}(n \geq 2)$ are entire functions which are not polynomials of degree $\leq 1$. Our theorem generalizes a previous one about linear independence of iterates.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 112 (1991), 1033-1036
- MSC: Primary 30D05
- DOI: https://doi.org/10.1090/S0002-9939-1991-1045136-4
- MathSciNet review: 1045136