Differential extension fields of exponential type
Maxwell Rosenlicht · Pacific Journal of Mathematics · 1975
The special properties of differential extension fields which can be generated by elements with logarithmic derivatives in the base field are worked out.The results are analogous to those for Kummer extensions of ordinary fields, where n tΆ roots are adjoined.The problem of the integration in finite terms of elements of such extension fields is considered, with applications to certain distribution functions that occur in statistics.