Some Gaussianity criteria for Khinchin families

2025/01/08 by Maciá, Víctor J. · 1 citation
#30B10 #30D20 #60E05 #60F05 #Complex Variables (math.CV) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2501.04375

Abstract

In this note we establish simple and verifiable analytical conditions for a power series f in the class K, and its associated Khinchin family, to be Gaussian. We give several moment criteria for general power series with non-negative coefficients in K and also provide several applications of these criteria.

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