When morning came, he had established the existence of one class of Fuchsian functions.
到了早晨，他已经证实了一类富克斯函数的存在。
2
By the next morning I had established the existence of a class of Fuchsian functions, those which come from the hypergeometric series;
第二天早上之前，我已经建立好一类Fuchsian函数的存在性证明，这些函数来自于超几何序列；
3
I asked myself what properties these series must have if they existed, and I succeeded without difficulty in forming the series I have called theta-Fuchsian.