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On the Distribution Function of Additive Functions

The Annals of Mathematics, 1946
The author extends his previous work on the distribution of values of additive arithmetical functions [J. Lond. Math. Soc. 13, 119--127 (1938; Zbl 0018.29301); Am. J. Math. 61, 713--721 (1939; Zbl 0022.00903) and Am. J. Math. 61, 722--725 (1939; Zbl 0022.01001)]. Many striking results are obtained.
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Additive Automorphic Functions and Bloch Functions

Canadian Journal of Mathematics, 1994
AbstractA function f analytic in the unit disk D is said to be strongly uniformly continuous hyperbolically, or SUCH, on a set E ⊂ D if for each ∊ > 0 there exists a δ > 0 such that |f(z) — f(z')| < ∊ whenever z and z' are points in E and the hyperbolic distance between z and z' is less than δ.
Aulaskari, Rauno, Lappan, Peter
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Additive Aggregation Functions: Generalizations and Modifications of Additivity

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2019
In this paper we study some modifications and generalizations of additivity in the case of aggregation functions on the unit interval [0, 1]. We prove that some common properties of aggregation functions can be viewed as modifications of additivity — additivity with constraints.We also generalize additivity into pseudo-additivity and k-pseudo ...
Anna Kolesárová   +2 more
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