Abelian theorems for the stieltjes transform of functions, II
An initial (final) value Abelian theorem concerning transforms of functions is a result in which known behavior of the function as its domain variable approaches zero (approaches ∞) is used to infer the behavior of the transform as its domain variable approaches zero (approaches ∞). We obtain such t...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1981-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171281000045 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | An initial (final) value Abelian theorem concerning transforms of functions
is a result in which known behavior of the function as its domain variable approaches zero (approaches ∞) is used to infer the behavior of the transform as its domain variable approaches zero (approaches ∞). We obtain such theorems in this paper concerning the Stieltjes transform. In our results all parameters are complex; the variable s of the transform is complex in the right half plane; and the initial (final) value Abelian theorems are obtained as |s|→0(|s|→∞) within an arbitrary wedge in the right half plane. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |