Bessel Functions - 10.13 Other Differential Equations
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| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 10.13.E8 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w^{(2n)} = (-1)^{n}\lambda^{2n}z^{-n}w}
w^{(2n)} = (-1)^{n}\lambda^{2n}z^{-n}w |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w = z^{\frac{1}{2}n}\BesselC{n}@{2\lambda e^{k\pi\iunit/n}z^{\frac{1}{2}}}, 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 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\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 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w = \BesselC{\nu}@{z}\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 | - | - |