Asymptotic Behavior of Stieltjes Transforms. I
- 1 June 1967
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 8 (6) , 1270-1275
- https://doi.org/10.1063/1.1705343
Abstract
Several theorems are proved concerning the asymptotic behavior of Stieltjes transforms as |z| approaches infinity, in a sector of the complex z plane which does not include the cut in the transform. The asymptotic behavior of the transform is related to the asymptotic behavior, for large values of the argument, of the function whose transform is taken.Keywords
This publication has 1 reference indexed in Scilit:
- Asymptotic behaviour of a function expressed through a dispersion integralIl Nuovo Cimento (1869-1876), 1964