abelian theorems for the stieltjes transform of functions, ii
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1981
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Abstract
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.
| Reference Key |
carmichael1981internationalabelian
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|---|---|
| Authors | ;Richard D. Carmichael;Elmer K. Hayashi |
| Journal | structural engineering and mechanics |
| Year | 1981 |
| DOI |
10.1155/S0161171281000045
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| URL | |
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