^{page no 115 note *} In the same way we get, by taking the next term in the logarithmic series,

and if we note that

we find

It is easy to get another term or two of the asymptotic fieries in this way, with the appropriate inequality.

^{page no 118 note *} It follows that the conditiorl is satisfied if

^{page no 119 note †} If we use the lemmas

we get easily enough

^{page no 119 note ‡}

^{page no 120 note *} Cf. the results given by Lindelöf, , Calcul des Rksidus (Paris, 1905), Ch. IV.Google Scholar