(For other notation see Notation for the Special Functions.)
nonnegative integers. |
|
real variables. |
|
nonnegative real variable. |
|
real parameters. |
|
logarithmic derivative of ; see §5.2(i). |
|
Dirac delta; see §1.17. |
|
primes |
derivatives with respect to the variable. |
The main functions treated in this chapter are first the Coulomb radial functions , , (Sommerfeld (1928)), which are used in the case of repulsive Coulomb interactions, and secondly the functions , , , (Seaton (1982, 2002a)), which are used in the case of attractive Coulomb interactions.