On the convergence of continued fractions
In Chapter I of this paper, fundamental definitions in the theory of continued fractions are set forth. In Chapter II we give certain classical convergence theorems for continued fractions of various types. The results of Chapter III are original and sharpen a Mom convergence theorem due to Leighton and Wall.
Glass, Thomas Franklin. "On the convergence of continued fractions." (1941) Master’s Thesis, Rice University. https://hdl.handle.net/1911/90180.