Puiseux expansions of algebraic functions
algeqtoseries(pol, x, y, order, pos_slopes)
polynomial equation in two variables x and y
name; variable name
positive integer order of the expansions
(optional) only branches tending to 0 are computed
The algeqtoseries(pol, x, y, order) command computes an expansion of all the branches at the origin. The equation pol⁡x,y=0 defines a multivalued function y(x).
If pos_slopes is specified, only those branches tending to 0 are computed. Note that this function is not designed to compute expansions to a large order. In this case, the differential equation should be used. For more information, see algeqtodiffeq.
P ≔ y−x2−x3⁢y2+x6⁢y5
P ≔ x6⁢y5−x3⁢y2−x2+y
Download Help Document
What kind of issue would you like to report? (Optional)
Thank you for submitting feedback on this help document. Your feedback will be used
to improve Maple's help in the future.