What do those different separators of arguments mean? While studying the wikipedia article about elliptic integrals, I encountered this notation, which I do not understand. $$F(\varphi,k) = F(\varphi \,|\, k^2) = F(\sin \varphi ; k) = \int_0^\varphi \frac {d\theta}{\sqrt{1 - k^2 \sin^2 \theta}}$$ What do those separators * $F(\cdot,\cdot)$ * $F(\cdot|\cdot)$ * $F(\cdot;\cdot)$ of the arguments of $F$ mean explicitly?

I was too fast in asking the question. Further reading demystified the nature of the separators. Sorry for my impatience. I quote from Wikipedia:

> In this notation, the use of a vertical bar as delimiter indicates that the argument following it is the "parameter", while the backslash indicates that it is the modular angle. The use of a semicolon implies that the argument preceding it is the sine of the amplitude. So $$F(\varphi, \sin \alpha) = F(\varphi \,|\, \sin^2 \alpha) = F(\varphi \setminus \alpha) = F(\sin \varphi ; \sin \alpha)$$