An example of a Markov function f = const + σ such that the three functions f, f2, and f3 constitute a Nikishin systemis given. It is conjectured that there exists aMarkov function f such that, for each n ∈ N, the system of f, f2,..., fn is a Nikishin system.
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Sergey Pavlovich Suetin (2018) studied this question.
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