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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Mouse pointer on the graphic shows the values
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
IT Functions
Decimal, Hex, Bin, Octal conversion • Shift bits left or right • Set a bit • Clear a bit • Bitwise AND • Bitwise OR • Bitwise exclusive ORSpecial 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 ZetaHyperbolic functions
ACosh • ACoth • ACsch • ASech • ASinh • ATanh • Cosh • Coth • Csch • Sech • Sinh • TanhTrigonometrische Funktionen
ACos • ACot • ACsc • ASec • ASin • ATan • Cos • Cot • Csc • Sec • Sin • Sinc • Tan • Degree to Radian • Radian to Degree
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