Identifying a function

Question

I am reading a piece of a physic paper where a function is mentioned without being given a name or reference - I guess it is a canonical one and that I should be familiar with.

The expression goes as:

$$|_2F_1(a,b;c;z)|$$

with $a,b,c \in {\mathbb R}$ and $z \in {\mathbb C}$. Also I am fairly sure the lowerscript 2 is a label on the function.

score 1 · Accepted Answer · answered Feb 08 '16 at 16:39

1

This is probably the hypergeometric function.

answered Feb 08 '16 at 16:39

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Another source would be http://mathworld.wolfram.com/HypergeometricFunction.html. – Dr_Be Feb 08 '16 at 16:41

score 1 · Answer 2 · answered Feb 08 '16 at 16:39

In mathematics, the Gaussian or ordinary hypergeometric function 2F1(a,b;c;z) is a special function represented by the hypergeometric series, that includes many other special functions as specific or limiting cases. It is a solution of a second-order linear ordinary differential equation (ODE). Every second-order linear ODE with three regular singular points can be transformed into this equation.

https://en.wikipedia.org/wiki/Hypergeometric_function

Identifying a function

2 Answers2