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 Apr 18 accepted Asymptotics of Bessel function for real arguments Apr 18 asked Asymptotics of Bessel function for real arguments Mar 20 asked Find Roots of expression with modified Bessel functions Jan 22 revised Pertubation series of given equations added 258 characters in body Jan 22 comment Pertubation series of given equations Thanks, I would also be interested in a generalisation to more than one variable and more than one function, for example in the case of a system of two coupled equations in f[x,y], g[x,y] where both f and g need to be expanded up to order $n$. Any idea? I can't see how to extend your code in order to work for these cases.. Jan 21 comment Pertubation series of given equations I guess that eq should be expr, right? Jan 21 revised Pertubation series of given equations edited title Jan 21 comment Pertubation series of given equations And also entered the code that does what I want, but I would like to know if there is a more efficient way to do it, and how to embed all this in a function definition. Jan 21 revised Pertubation series of given equations added 108 characters in body Jan 21 comment Pertubation series of given equations I added the desired result, and explained how I usually do it. Jan 21 revised Pertubation series of given equations added 142 characters in body Jan 21 asked Pertubation series of given equations Jan 21 accepted Dividing out any constant factor from expression Jan 21 comment Dividing out any constant factor from expression This does not work as I would like it too, i.e., without knowing in advance if my expression has 2 as common divisor. Jan 21 comment Dividing out any constant factor from expression @DanielLichtblau What if I do not know in principle that 2 will work? Jan 21 asked Dividing out any constant factor from expression Jan 20 accepted Bessel-like equation problem with NDSolve Jan 19 asked Bessel-like equation problem with NDSolve Dec 17 accepted Coefficient and Addition Formula Dec 8 comment Coefficient and Addition Formula @glS That is true, but I would like to be able to change options and isolate Cos[2 x] instead. It would be great to have also that freedom. But your answer is already very helpful indeed.