Lothar Berg, Günter Mainardus
The 3n+1 Collatz Problem and Functional Equations
The paper is published: Rostocker Mathematische Kolloquium, Rostock. Math. Kolloq. 48, 11-18 (1995)

MSC:

11B37 Recurrences, {For applications to special functions, See 33-XX}

39B32 Equations for complex functions, See also {30D05}

Abstract: This paper reports on some functional equations, which arise in
connection with the famous 3n+1 Collatz problem. In particular, it
reports on two analytic versions of the corresponding Collatz
conjecture, which are contained in [1].