| Version 14 |
Version 13 |
| \PMlinkescapeword{term} \PMlinkescapeword{terms} |
\PMlinkescapeword{term} \PMlinkescapeword{terms} |
|
|
| There are in PM many entries on series whose terms are usually thought to be real but which can equally well be any complex numbers. It may be good to make a list of such entries, but of course include such ones concerning the proper complex (imaginary) term series. |
There are in PM many entries on series whose terms are usually thought to be real but which can equally well be any complex numbers. It may be good to make a list of such entries, but of course include such ones concerning the proper complex (imaginary) term series. |
|
|
| \begin{enumerate} |
\begin{enumerate} |
| \item \PMlinkname{series}{Series} |
\item \PMlinkname{series}{Series} |
| \item convergent series |
\item convergent series |
| \item convergence of complex term series |
\item convergence of complex term series |
| \item necessary condition of convergence |
|
| \item slower convergent series |
|
| \item slover divergent series |
|
| \item adding and removing parentheses in series |
\item adding and removing parentheses in series |
| \item absolute convergence theorem |
\item absolute convergence theorem |
| \item sum of series |
\item sum of series |
| \item remainder term |
\item remainder term |
|
\item necessary condition of convergence |
| \item limit of sequence as sum of series |
\item limit of sequence as sum of series |
| \item sum of series depends on order |
\item sum of series depends on order |
| \item harmonic series |
|
| \item convergence of Riemann zeta series |
\item convergence of Riemann zeta series |
| \item manipulating convergent series |
\item manipulating convergent series |
| \item multiplication of series |
\item multiplication of series |
| \item Cauchy product |
\item Cauchy product |
| \item double series |
\item double series |
| \item absolute convergence of double series |
\item absolute convergence of double series |
| \item Dirichlet series |
\item Dirichlet series |
| \item example of summation by parts |
\item example of summation by parts |
| \item real part series and imaginary part series |
\item real part series and imaginary part series |
| \item sum function of series |
\item sum function of series |
| \item termwise differentiation |
\item termwise differentiation |
| \item theorems on complex function series |
\item theorems on complex function series |
| \item power series |
\item power series |
| \item identity theorem of power series |
\item identity theorem of power series |
| \item Taylor series |
\item Taylor series |
| \item Laurent series |
\item Laurent series |
| \item binomial theorem |
\item binomial theorem |
| \item quotient of Taylor series |
\item quotient of Taylor series |
| \item Abel summability |
\item Abel summability |
| \item Weierstrass double series theorem |
\item Weierstrass double series theorem |
| \item |
\item |
|
|
|
|
| \end{enumerate} |
\end{enumerate} |
