Spheroidal Wave Functions - 30.11 Radial Spheroidal Wave Functions

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
30.11#Ex5	${\displaystyle{\displaystyle S^{m(3)}_{n}\left(z,\gamma\right)=S^{m(1)}_{n}\left(z,\gamma\right)+\mathrm{i}S^{m(2)}_{n}\left(z,\gamma\right)}}$ \radsphwaveS{m}{3}{n}@{z}{\gamma} = \radsphwaveS{m}{1}{n}@{z}{\gamma}+\iunit\radsphwaveS{m}{2}{n}@{z}{\gamma}		Error	SpheroidalS3[n, m, z, \[Gamma]] == SpheroidalS1[n, m, z, \[Gamma]]+ I*SpheroidalS2[n, m, z, \[Gamma]]	Missing Macro Error	Failure	-	Skipped - Because timed out
30.11#Ex6	${\displaystyle{\displaystyle S^{m(4)}_{n}\left(z,\gamma\right)=S^{m(1)}_{n}\left(z,\gamma\right)-\mathrm{i}S^{m(2)}_{n}\left(z,\gamma\right)}}$ \radsphwaveS{m}{4}{n}@{z}{\gamma} = \radsphwaveS{m}{1}{n}@{z}{\gamma}-\iunit\radsphwaveS{m}{2}{n}@{z}{\gamma}		Error	SpheroidalS4[n, m, z, \[Gamma]] == SpheroidalS1[n, m, z, \[Gamma]]- I*SpheroidalS2[n, m, z, \[Gamma]]	Missing Macro Error	Failure	-	Skipped - Because timed out
30.11.E7	${\displaystyle{\displaystyle\mathscr{W}\left\{S^{m(1)}_{n}\left(z,\gamma\right),S^{m(2)}_{n}\left(z,\gamma\right)\right\}=\frac{1}{\gamma(z^{2}-1)}}}$ \Wronskian@{\radsphwaveS{m}{1}{n}@{z}{\gamma},\radsphwaveS{m}{2}{n}@{z}{\gamma}} = \frac{1}{\gamma(z^{2}-1)}		Error	Wronskian[{SpheroidalS1[n, m, z, \[Gamma]], SpheroidalS2[n, m, z, \[Gamma]]}, z] == Divide[1,\[Gamma]*((z)^(2)- 1)]	Missing Macro Error	Failure	-	Error