Bessel Functions - 10.13 Other Differential Equations

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
10.13.E8	${\displaystyle{\displaystyle w^{(2n)}=(-1)^{n}\lambda^{2n}z^{-n}w}}$ w^{(2n)} = (-1)^{n}\lambda^{2n}z^{-n}w	${\displaystyle{\displaystyle w=z^{\frac{1}{2}n}\mathscr{C}_{n}\left(2\lambda e^{k\pi\mathrm{i}/n}z^{\frac{1}{2}}\right),k=0}}$	(w)^(2*n) = (- 1)^(n)* (lambda)^(2*n)* (z)^(- n)* w	(w)^(2*n) == (- 1)^(n)* \[Lambda]^(2*n)* (z)^(- n)* w	Skipped - no semantic math	Skipped - no semantic math	-	-
10.13.E11	${\displaystyle{\displaystyle\left(\vartheta^{4}-2(\nu^{2}+\mu^{2})\vartheta^{2}+(\nu^{2}-\mu^{2})^{2}\right)w+4z^{2}(\vartheta+1)(\vartheta+2)w=0}}$ \left(\vartheta^{4}-2(\nu^{2}+\mu^{2})\vartheta^{2}+(\nu^{2}-\mu^{2})^{2}\right)w+4z^{2}(\vartheta+1)(\vartheta+2)w = 0	${\displaystyle{\displaystyle w=\mathscr{C}_{\nu}\left(z\right)\mathscr{D}_{\mu}(z).}}$	((vartheta)^(4)- 2*((nu)^(2)+ (mu)^(2))*(vartheta)^(2)+((nu)^(2)- (mu)^(2))^(2))*w + 4*(z)^(2)*(vartheta + 1)*(vartheta + 2)*w = 0	(\[CurlyTheta]^(4)- 2*(\[Nu]^(2)+ \[Mu]^(2))*\[CurlyTheta]^(2)+(\[Nu]^(2)- \[Mu]^(2))^(2))*w + 4*(z)^(2)*(\[CurlyTheta]+ 1)*(\[CurlyTheta]+ 2)*w == 0	Skipped - no semantic math	Skipped - no semantic math	-	-