16 апр. 2015 г. · Power series expansion of f(x)=1/(1-x) around x=0 and x=-1 ... I was hoping to confirm these expansions. |
24 янв. 2016 г. · What is the expansion for (1−x)−n? Could find only the expansion upto the power of −3. Is there some general formula ... |
21 окт. 2015 г. · My question is: (a) represent the function f(x)=1/x as a power series around x=1. (b) represent the function f(x)=ln(x) as a power series around x=1. |
motivation for 1/(1−x) used in generating functions math.stackexchange.com › questions › motivati...
30 сент. 2014 г. · 11−x is a quotient of two formal power series that have infinite trailing zeroes, and we interpret it as a function in a specific area of ... |
16 апр. 2013 г. · The 1 in front isn't added in, it is just the value you get by putting x=0. And in you final expression, this value is present on the left ( ... |
6 окт. 2020 г. · The easiest way is to note that the power series f(u)=11−u=∞∑n=0un. is valid for |u|<1. Similarly, if we let u=x2, we get your power series ... |
5 июн. 2015 г. · I would like to expend the real function f(x)= 1 (1−x)k into a power series. I know the power developpement of 1 (1−x) in the disk of convergence. |
23 сент. 2012 г. · The power series representation is valid in the largest disk (in the complex plane) around the origin which doesn't contain a singular point. |
27 июн. 2018 г. · So, the power series will be always negative, as sqrt(1-x) , x>1 will be always non-negative, therefore the claim is false? – Erez Shlomo. |
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