Additive generator pairs of overlap functions
Li-zhi Liang, Xue-ping Wang

TL;DR
This paper characterizes the pairs of functions that generate overlap functions through additive combinations, providing analytical expressions and a complete description of such pairs.
Contribution
It offers a full characterization of additive generator pairs for overlap functions, including explicit transformations and analytical expressions.
Findings
Complete characterization of generator pairs for overlap functions
Analytical expressions for transformations of generator pairs
Conditions under which the sum of generators yields an overlap function
Abstract
Let be a function with both and existing for every and be a function. In this article we completely characterize the pair for the bivariate function given by being an overlap function. In particular, we give analytical expressions of some transformations for the pair .
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Taxonomy
TopicsMeromorphic and Entire Functions · Analytic and geometric function theory · Holomorphic and Operator Theory
