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Bounded nonvanishing functions and bateman functions

Bounded nonvanishing functions and bateman functions

We consider the family B of bounded nonvanishing analytic functions in the unit disk. The coefficient problem had been extensively investigated (see e.g. [2, 13, 14, 16-18, 20]), and it is known that for n = 1, 2, 3, and 4. That this inequality may hold for is known as …