On a recursion formula and on some Tauberian theorems
نویسندگان
چکیده
منابع مشابه
On a Recursion Formula and on Some Tauberian Theorems
Erdos, F eller, and Pollard [2] pro ved that if the greatest common divi or of the k's with c,,>O is 1, then , Other theorems of the same type as theorem 1 were proved by T . Kaluza [4] . Assuming (1) , he showed for instance, that j (2) > 0, j (n l )j (n + 1) > p(n ) (n = 2,3, . .. ) imply that the c's are positive. Furthermore, he proved that j (I ),j(2), ... is a moment equence if, and only ...
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This article is a survey of some Tauberian theorems obtained recently in connection with work on asymptotic behaviour of semigroups of operators on Banach spaces. The results in operator theory are described in [6], where we made little attempt to show the Tauberian aspects. At the end of this article, we will give a sketch of the connections between the results in this article and in [6]; for ...
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ژورنال
عنوان ژورنال: Journal of Research of the National Bureau of Standards
سال: 1953
ISSN: 0091-0635
DOI: 10.6028/jres.050.025