Coulomb Functions - 33.4 Recurrence Relations and Derivatives

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
33.4.E2	${\displaystyle{\displaystyle R_{\ell}X_{\ell-1}-T_{\ell}X_{\ell}+R_{\ell+1}X_{\ell+1}=0}}$ R_{\ell}X_{\ell-1}-T_{\ell}X_{\ell}+R_{\ell+1}X_{\ell+1} = 0	${\displaystyle{\displaystyle\ell\geq 1}}$	R[ell]*X[ell - 1]-(S[ell]+ S[ell + 1])*X[ell]+ R[ell + 1]*X[ell + 1] = 0	Subscript[R, \[ScriptL]]*Subscript[X, \[ScriptL]- 1]-(Subscript[S, \[ScriptL]]+ Subscript[S, \[ScriptL]+ 1])*Subscript[X, \[ScriptL]]+ Subscript[R, \[ScriptL]+ 1]*Subscript[X, \[ScriptL]+ 1] == 0	Skipped - no semantic math	Skipped - no semantic math	-	-