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Showing papers on "Asymptotology published in 1971"


Journal ArticleDOI
TL;DR: In this paper, the authors examined the error in a general composite integration formula and determined a form of the error which permits a theory of asymptotic upper and lower bounds to be applied to a wide class of rules.
Abstract: In this paper we examine the error in a general composite integration formula. We determine a form of the error which permits a theory of asymptotic upper and lower bounds to be applied to a wide class of rules.

20 citations




Journal ArticleDOI
TL;DR: The principal part of an asymptotic expansion at infinity of the logarithm of integral functions of finite order with simple positive zeros was determined in this paper, with the aid of a Cauchy-type integral with smooth density.
Abstract: The principal part of an asymptotic expansion at infinity of the logarithm of integral functions of finite order with simple positive zeros is determined. The asymptotic form is obtained with the aid of a Cauchy-type integral with smooth density.

6 citations












Journal ArticleDOI
TL;DR: In this paper, the authors consider the model of Bailey and show that the successive states of a population will be described by (i,j), where i is the number infected since the beginning of the epidemic, and j is the removed (dead, isolated or recovered and immune) during the same period.
Abstract: Let n and m be the initial numbers of susceptibles and infectives respectively in the well-known model of Bailey. The successive states of a population will be described by (i,j), where i is the number infected since the beginning of the epidemic, and j is the number removed (dead, isolated or recovered and immune) during the same period. The transition probabilities obviously are the following