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Berg and Meinardus, 1994, 1995, introduced a pair of linear functional equations, acting on a space of holomorphic functions H, defined on the open unit disk D. The simultaneous solutions of the two functional equations contain a simple two dimensional space, denoted by ∆ 2 , and if one could show that ∆ 2 is the only solution, the Collatz conjecture would be true. Berg and Meinardus already presented the general solutions of the two individual functional equations. The present author reformulates the pair

Author

Inquit_

Language

EN