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Display information for equation id:math.1826.47 on revision:1826

* Page found: Das Wasserstoffatom (relativistsich) (eq math.1826.47)

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Das Wasserstoffatom (relativistsich) Eq: math.1826.47

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TeX (original user input):

\begin{align}

& f(\rho )=\sum\limits_{k=0}^{\infty }{{{f}_{k}}{{\rho }^{k}}}\Rightarrow f\acute{\ }(\rho )=\sum\limits_{k=1}^{\infty }{k{{f}_{k}}{{\rho }^{k-1}}}=\sum\limits_{k=0}^{\infty }{(k+1){{f}_{k+1}}{{\rho }^{k}}} \\

& g(\rho )=\sum\limits_{k=0}^{\infty }{{{g}_{k}}{{\rho }^{k}}}\Rightarrow g\acute{\ }(\rho )=\sum\limits_{k=1}^{\infty }{k{{g}_{k}}{{\rho }^{k-1}}} \\

& \frac{f(\rho )}{\rho }=\sum\limits_{k=0}^{\infty }{{{f}_{k}}{{\rho }^{k-1}}=}\frac{{{f}_{0}}}{\rho }+\sum\limits_{k=0}^{\infty }{{{f}_{k+1}}{{\rho }^{k}}} \\

\end{align}

TeX (checked):

{\begin{aligned}&f(\rho )=\sum \limits _{k=0}^{\infty }{{{f}_{k}}{{\rho }^{k}}}\Rightarrow f{\acute {\ }}(\rho )=\sum \limits _{k=1}^{\infty }{k{{f}_{k}}{{\rho }^{k-1}}}=\sum \limits _{k=0}^{\infty }{(k+1){{f}_{k+1}}{{\rho }^{k}}}\\&g(\rho )=\sum \limits _{k=0}^{\infty }{{{g}_{k}}{{\rho }^{k}}}\Rightarrow g{\acute {\ }}(\rho )=\sum \limits _{k=1}^{\infty }{k{{g}_{k}}{{\rho }^{k-1}}}\\&{\frac {f(\rho )}{\rho }}=\sum \limits _{k=0}^{\infty }{{{f}_{k}}{{\rho }^{k-1}}=}{\frac {{f}_{0}}{\rho }}+\sum \limits _{k=0}^{\infty }{{{f}_{k+1}}{{\rho }^{k}}}\\\end{aligned}}

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\begin{matrix} f (ρ) = \sum_{k = 0}^{\infty} f_{k} ρ^{k} \Rightarrow f \overset{´}{} (ρ) = \sum_{k = 1}^{\infty} k f_{k} ρ^{k - 1} = \sum_{k = 0}^{\infty} (k + 1) f_{k + 1} ρ^{k} \\ g (ρ) = \sum_{k = 0}^{\infty} g_{k} ρ^{k} \Rightarrow g \overset{´}{} (ρ) = \sum_{k = 1}^{\infty} k g_{k} ρ^{k - 1} \\ \frac{f (ρ)}{ρ} = \sum_{k = 0}^{\infty} f_{k} ρ^{k - 1} = \frac{f_{0}}{ρ} + \sum_{k = 0}^{\infty} f_{k + 1} ρ^{k} \end{matrix}

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Identifiers

$f$

$ρ$

$k$

$f_{k}$

$ρ$

$k$

$f$

$\overset{´}{}$

$ρ$

$k$

$k$

$f_{k}$

$ρ$

$k$

$k$

$k$

$f_{k + 1}$

$ρ$

$k$

$g$

$ρ$

$k$

$g_{k}$

$ρ$

$k$

$g$

$\overset{´}{}$

$ρ$

$k$

$k$

$g_{k}$

$ρ$

$k$

$f$

$ρ$

$ρ$

$k$

$f_{k}$

$ρ$

$k$

$f_{0}$

$ρ$

$k$

$f_{k + 1}$

$ρ$

$k$

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