…
►These identities are all given in terms of sums and products of basic
bilateral hypergeometric
series.
…
§17.18 Methods of Computation
…
►The two main methods for computing basic hypergeometric functions are: (1) numerical summation of the defining
series given in §§
17.4(i) and
17.4(ii); (2) modular transformations.
Method (1) is applicable within the circles of convergence of the defining
series, although it is often cumbersome owing to slowness of convergence and/or severe cancellation.
…
►Shanks (1955) applies such methods in several
-
series problems; see
Andrews et al. (1986).