- #1
Jhenrique
- 685
- 4
I found this identity in the wiki
https://de.wikipedia.org/wiki/Jacob...efinition_als_spezielle_meromorphe_Funktionen
One propertie of the ellipitc integral is: K(k') = K'(k), all this set of ideia seems answer an old doubt, ie, exist a complementary for jacobi amplitude?
If
##\Delta(\phi, k) = \sqrt{1-k^2 \sin(\phi)}##
thus
##\Delta(\phi, k') = \Delta ' (\phi, k) = \sqrt{1+k^2 \cos(\phi)}##
?
https://de.wikipedia.org/wiki/Jacob...efinition_als_spezielle_meromorphe_Funktionen
One propertie of the ellipitc integral is: K(k') = K'(k), all this set of ideia seems answer an old doubt, ie, exist a complementary for jacobi amplitude?
If
##\Delta(\phi, k) = \sqrt{1-k^2 \sin(\phi)}##
thus
##\Delta(\phi, k') = \Delta ' (\phi, k) = \sqrt{1+k^2 \cos(\phi)}##
?