Bingley's function, often referred to in the context of mathematical analysis or probability theory, typically describes a specific operation or transformation applied to a set of data or a mathematical structure. It may involve functions that analyze or manipulate distributions, such as calculating moments or generating functions. However, the term does not appear to be widely recognized or standardized, so its specific definition might vary depending on the context in which it is used. If you have a specific area of application or context in mind, please provide more details for a more focused explanation.