A Note on Generating Functions for Hausdorff Moment Sequences
classification
🧮 math.CA
math.CV
keywords
functionsgammahausdorffmomentbehaviourcoefficientsfixedform
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For functions $f$ whose Taylor coefficients at the origin form a Hausdorff moment sequence we study the behaviour of $w(y):=|f(\gamma+iy)|$ for $y>0$ ($\gamma\leq1$ fixed).
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