The theory of Hahn-meromorphic functions, a holomorphic Fredholm theorem, and its applications
The theory of Hahn-meromorphic functions, a holomorphic Fredholm theorem, and its applications
We introduce a class of functions near zero on the logarithmic cover of the complex plane that have convergent expansions into generalized power series.The construction covers cases where noninteger powers of z and also terms containing log z can appear.We show that, under natural assumptions, some important theorems from complex …