(For other notation see Notation for the Special Functions.)
|nonnegative real variable.|
|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.