Questions about series and O[x]

*To*: mathgroup at smc.vnet.net*Subject*: [mg12782] Questions about series and O[x]*From*: 6500mdl0 at ucsbuxa.ucsb.edu (Matthew D Litwin)*Date*: Wed, 10 Jun 1998 03:04:42 -0400*Organization*: University of California, Santa Barbara*Sender*: owner-wri-mathgroup at wolfram.com

Hi, I'm working with series with fractional exponents, and have a few questions on how to efficiently do certain operations. 1) Suppose you have a series like f=1 +x^(1/2) +x + x^(3/2) +O[x]^2 What is the most efficient way to apply a transformation like x -> x^(2/3) which would yield a series with order O[x]^(4/3). The best I've found is to operate on Normal[f] and add the O[x] term by hand, but this seems slower than it need be for long series. 2) Suppose you have two (or three) such series and are taking the product, call it P, and you know that the only non-zero terms in P are of the form A x^n, where n is an integer. Is there any way to avoid computing the fractional terms in P? Thank you for any suggestions, -Matt Litwin matt at math.ucsb.edu

**Follow-Ups**:**Re: Questions about series and O[x]***From:*Daniel Lichtblau <danl>