We use the following notations:
compare §10.2(ii). For the coefficients see
§28.14. For and see §28.4.
valid for all when , and for and
In the case when is an integer
When , each of the series (28.23.6)–(28.23.13)
converges for all . When the series in the even-numbered
equations converge for and , and the
series in the odd-numbered equations converge for and
For proofs and generalizations, see
Meixner and Schäfke (1954, §§2.62 and 2.64).