# §17.1 Special Notation

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

 nonnegative integers. complex variable. real variable. base: unless stated otherwise . -shifted factorial: .

The main functions treated in this chapter are the basic hypergeometric (or -hypergeometric) function , the bilateral basic hypergeometric (or bilateral -hypergeometric) function , and the -analogs of the Appell functions , , , and .

Another function notation used is the “idem” function:

These notations agree with Gasper and Rahman (2004) (except for the -Appell functions which are not considered in this reference). A slightly different notation is that in Bailey (1935) and Slater (1966); see §17.4(i). Fine (1988) uses for a particular specialization of a function.