@

author = {J.M. Borwein and P. Lisonek and J.A. Macdonald},}

title = {{Arithmetic-geometric means revisited}},

language = {english},

abstract = {We use Maple's gfun library to study the limit formulae for a two-term recurrence (iteration) $AG_N$, which in the case $N=2$ specializes to the well-known Arithmetic-Geometric Mean iteration of Gauss. Our main aim is to independently rediscover and prove the limit formulae for two classical cases ($N=2,3$) in a completely automated manner and to open the way for studying the remaining cases ($N>3$).},

journal = {The Maple Technical Newsletter},

volume = {4},

pages = {20--27},

isbn_issn = {ISSN 1061-5733},

year = {1997},

refereed = {yes},

length = {8}