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Recently, several important degenerate functions have been introduced in the literature, including the degenerate sigmoid function in 2023, and various degenerate hyperbolic functions and their reciprocal forms in 2024. The main contribution of this article is a thorough revision of their domains of definition, as well as a reconsideration of some of their key properties. Numerical examples are given to illustrate the theory.

sigmoid, degenerate sigmoid function, degenerate hyperbolic functions, domain of definition.