Corrigendum to “On generating functions of Hausdorff moment sequences”

The authors provide a corrected proof of Theorem 5 in their paper which appeared in Trans. Amer. Math. Soc. 368 (2016), 8499–8518. This result characterizes Fuss-Catalan sequences that are moments of a probability distribution with compact support in <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-bracket 0 comma normal infinity right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mo stretchy="false">[</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mi mathvariant="normal"> ∞ </mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">[0,\infty )</mml:annotation> </mml:semantics> </mml:math> </inline-formula> .