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keisanHigh-precision calculations for everyday life and work

Hankel Functions (Graphs)

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Calculates and graphs tables of the real and imaginary parts of the Hankel functions of the first kind Hv(1)(x), the second kind Hv(2)(x), and their derivatives.
Functions
Order v
Real numbers
[ Initial value of x
]
\(\normalsize Hankel\ functions\ of\ the\ 1st\ kind\\ \hspace{75px} H^{(1)}_\nu(x)\ and\ 2nd\ kind\ H^{(2)}_\nu(x)\\ (1)\ x^2y''+xy'+(x^2-\nu^2)y=0\\ \hspace{25px} y=c_1H^{(1)}_\nu(x)+c_2H^{(2)}_\nu(x)\\ (2)\ H^{(1)}_\nu(x)=J_\nu(x)+iY_\nu(x)\\ \hspace{25px} H^{(2)}_\nu(x)=J_\nu(x)-iY_\nu(x)\\\)

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