# §13.17 Continued Fractions

If such that , then

where

13.17.2

This continued fraction converges to the meromorphic function of on the left-hand side for all . For more details on how a continued fraction converges to a meromorphic function see Jones and Thron (1980).

If such that , then

where

13.17.4

This continued fraction converges to the meromorphic function of on the left-hand side throughout the sector .