On the validity and practical applicability of derivative analyticity relations
P. Kolář, Jan M. F. Fischer · Journal of Mathematical Physics · 1984
We examine derivative analyticity relations (DAR), which were originally proposed by Bronzan as an alternative to dispersion relations and in which the dispersion integral is replaced by a tangent series of derivatives. We characterize the class of functions satisfying DAR, and show that outside this class the dispersion integral represents a Borel-like sum of tangent series. We point out difficulties connected with the application of DAR.