51 citations · 51 across the 4 of their papers we have counts for
9 papers
Answer to a question concerning Euler's paper "Variae considerationes circa series hypergeometricas"
Alexander Aycock
We solve a problem concerning Euler's paper "Variae considerationes circa series hypergeometricas" (\cite{E661}) suggested by G. Faber in the preface to Volume 16,2 of the first se…
Euler and the Gammafunction
Alexander Aycock
We review Euler's idea on the Gammafunction. We will explain, how Euler obtained them and how Euler's ideas anticipate more modern approaches and theories. Furthermore, some questi…
Institutiones calculi differentialis cum eius usu in analysi finitorum ac doctrina serierum
Leonhard Euler, Alexander Aycock
This is the translation of Euler's Latin textbook Institutiones calculi differentialis cum eius usu in analysi finitorum ac doctrina serierum (second volume) into English.
Euler and the Multiplication Formula for the Gamma Function
Alexander Aycock
We show that an apparently overlooked result of Euler from \cite{E421} is essentially equivalent to the general multiplication formula for the -function that was proven by Gauss…
On solids whose (entire) surface can be unfolded onto a plane
Leonhard Euler, Alexander Aycock
This is the English translation of Leonhard Euler's Latin paper "De solidis quorum superficiem in planum explicare licet". Euler explains several methods to obtain equations for de…
Observations on continued fractions
Leonhard Euler, Alexander Aycock
This is a translation of Euler's Latin paper "De fractionibus continuis observationes" into English. In this paper Euler describes his theory of continued fractions. He teaches, ho…