R^{k}_{i_{1}...i_{n}}·d_{t}[x_{i_{1}}(t)]·...·d_{t}[x_{i_{n}}(t)] = d_{t...t}^{n}[x_{k}(t)]
x_{k}(t) = t^{k}
R^{k}_{i_{1}...i_{n}} = ( 1/(i_{1}...i_{n}) )·( k!/(k+(-n))! )·t^{k+(-1)·(i_{1}+...+i_{n})}
x_{k}(t) = e^{k·t}
R^{k}_{i_{1}...i_{n}} = ( 1/(i_{1}...i_{n}) )·( k^{n} )·e^{(k+(-1)·(i_{1}+...+i_{n}))·t}
x_{k}(t) = ln(t^{k})
R^{k}_{i_{1}...i_{n}} = ( 1/(i_{1}...i_{n}) )·( (-1)^{n+1}·k·n! )
No hay comentarios:
Publicar un comentario