Abelian theorems for the stieltjes transform of functions, II

Autor: Richard D. Carmichael, Elmer K. Hayashi
Jazyk: angličtina
Rok vydání: 1981
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 4, Iss 1, Pp 67-88 (1981)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171281000045
Popis: 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.
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