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Third-Kind Kelvin Functions (Graph)

TOP/Special functions/Kelvin function
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Calculates a table and plots the Kelvin functions of the third kind, herv(x) and heiv(x).
Order v
Real numbers
[ Initial values for x
]
\(\normalsize Kelvin\ functions\\ \hspace{60px} of\ the\ 3rd\ kind\ her_\nu(x),\ hei_\nu(x)\\ (1)\ x^2y''+xy'-(ix^2+\nu^2)y=0\\ \hspace{25px} y=c_1{her_\nu(x)}+ic_2{hei_\nu(x)}\\ (2)\ her_\nu(x)+ihei_\nu(x)=H^{(1)}_\nu(x{\large e^{i\frac{3\pi}{4}}})\\ \hspace{135px}={\large\frac{2}{i\pi}}\left(ker_\nu(x)+ikei_\nu(x)\right)\\\)

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