A Theorem on the Minimum Modulus of Entire Functions.
Bo Kjellberg (1963)
Mathematica Scandinavica
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Displaying similar documents to “Extension of Entire Functions with Controlled Growth.”
A Theorem on the Minimum Modulus of Entire Functions.
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On the Minimum Modulus of Entire Functions of Lower Order Less than One.
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We study the growth of parameter-dependent entire functions. We are mainly interested in the case where the functions depend holomorphically on the parameter.
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We prove a theorem on the growth of a solution of a kth-order linear differential equation. From this we obtain some uniqueness theorems. Our results improve several known results. Some examples show that the results are best possible.
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