# §8.1 Special Notation

(For other notation see Notation for the Special Functions.)

 real variable. complex variable. real or complex parameters. nonnegative integers. arbitrary small positive constant. gamma function (§5.2(i)). .

Unless otherwise indicated, primes denote derivatives with respect to the argument.

The functions treated in this chapter are the incomplete gamma functions , , , , and ; the incomplete beta functions and ; the generalized exponential integral ; the generalized sine and cosine integrals , , , and .

Alternative notations include: Prym’s functions , , Nielsen (1906a, pp. 25–26), Batchelder (1967, p. 63); , , Dingle (1973); , , Magnus et al. (1966); , , Luke (1975).