 Using the pi function the reflection formula takes on the form

where is the normalized sinc function, while the multiplication theorem takes on the form

We also sometimes find

which is an entire function, defined for every complex number, just like the reciprocal gamma function.That formula_207 is entire entails it has no poles, so formula_208, like formula_209, has no zeros.The volume of an -ellipsoid with radii can be expressed as



Including up to the first 20 digits after the decimal point, some particular values of the gamma function are