(For other notation see Notation for the Special Functions.)
integer. |
|
, |
nonnegative integers. |
, |
real variables. |
complex variable. |
|
arbitrary small positive constant. |
|
Euler’s constant (§5.2(ii)). |
|
gamma function (§5.2(i)). |
|
. |
The main functions treated in this chapter are the Kummer functions and , Olver’s function , and the Whittaker functions and .
Other notations are: (§16.2(i)) and (Humbert (1920)) for ; (Erdélyi et al. (1953a, §6.5)) for ; (Olver (1997b, p. 256)) for ; (Buchholz (1969, p. 12)) for .
For an historical account of notations see Slater (1960, Chapter 1).