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On the Proximate Order of Growth of Generating Functions of Pólya Frequency Sequences

By Maria Teresa Alzugaray


Abstract. We study the possible growth of Pólya frequency sequence generating functions analytic in the unit disk and describe the proximate orders of growth of these functions. Some classical function theory results concerning orders of growth are generalized to the case of proximate orders

Topics: multiply positive sequence, generating function
Year: 2009
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