EXTENSION OF GANELIUS' THEOREM

In this paper, we extend Ganelius' lemma in Anderson [1]. In the Ganelius' original version several of the ${\alpha}$$\sub$k/ are equal to 1, but in our extension theorem we have the ${\alpha}$$\sub$k/ distinct and all unequal to 1. Then our theorem can be used to introduce an indefinite quadrature formula for ∫$\sub$-1/$\^$1/ f($\chi$)d$\chi$, f $\in$ H$\^$p/, with p ＞ 1. We will also correct an error in the proof of Ganelius' theorem provided in Ganelius [2].(omitted)