Hankel Function Calculator
Online calculator for calculating the Hankel Functions of the first and second kind
The calculator on this page calculates the Hankel functions of the first kind Hv(1)(x) and the second kind Hv(2)(x)
The Hankel functions are an important formulation of the two linearly independent solutions of the Bessel equations, defined as
\(\displaystyle H_a^{(1)}(x)=J_α(x)+iY_α(x) \)
\(\displaystyle H_a^{(2)}(x)=J_α(x)-iY_α(x) \)
The Hankel functions are used to express outwardly or inwardly propagating cylindrical waves of the cylindrical wave equation.
The results are complex numbers.
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The curve above is only displayed when the imaginary value in the argument = 0.
If the real value is 0, the imaginary values are infinite. In order to resolve small values, the Y scale is limited to +/- 4
More special functions
Airy • Derivative Airy • Bessel-I • Bessel-Ie • Bessel-J • Bessel-Je • Bessel-K • Bessel-Ke • Bessel-Y • Bessel-Ye • Spherical-Bessel-J • Spherical-Bessel-Y • Hankel • Beta • Incomplete Beta • Incomplete Inverse Beta • Binomial Coefficient • Binomial Coefficient Logarithm • Erf • Erfc • Erfi • Erfci • Fibonacci • Fibonacci Tabelle • Gamma • Inverse Gamma • Log Gamma • Digamma • Trigamma • Logit • Sigmoid • Derivative Sigmoid • Softsign • Derivative Softsign • Softmax • Struve • Struve table • Modified Struve • Modified Struve table • Riemann Zeta
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