(48) | |||

(49) | |||

(50) |

Depending on where you start, these can be used to prove the relations above. They are most useful for getting expansions for small values of their parameters. For small x (to leading order):

(51) | |||

(52) | |||

(53) | |||

(54) |

We will use these fairly often in this course, so learn them.